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Finding the Fourth Proportional to 4,111.10, 6,166.65 and 4,111.10

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Solution

The fourth proportional to 4,111.10, 6,166.65 and 4,111.10 is: 6,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.10 : 6,166.65 = 4,111.10 : x
  2. Step 2: Convert to fraction form
    4,111.10/6,166.65 = 4,111.10/x
  3. Step 3: Cross multiply
    4,111.10x = 6,166.65 × 4,111.10
  4. Step 4: Simplify right side
    4,111.10x = 25,351,714.82
  5. Step 5: Solve for x
    x = 25,351,714.82/4,111.10
  6. Step 6: Final answer
    x = 6,166.65

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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.