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Finding the Fourth Proportional to 9,143.10, 13,714.65 and 7,607.10

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Solution

The fourth proportional to 9,143.10, 13,714.65 and 7,607.10 is: 11,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.10 : 13,714.65 = 7,607.10 : x
  2. Step 2: Convert to fraction form
    9,143.10/13,714.65 = 7,607.10/x
  3. Step 3: Cross multiply
    9,143.10x = 13,714.65 × 7,607.10
  4. Step 4: Simplify right side
    9,143.10x = 104,328,714.02
  5. Step 5: Solve for x
    x = 104,328,714.02/9,143.10
  6. Step 6: Final answer
    x = 11,410.65

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.