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Finding the Fourth Proportional to 9,641.40, 14,462.10 and 4,714.20

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Solution

The fourth proportional to 9,641.40, 14,462.10 and 4,714.20 is: 7,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.40 : 14,462.10 = 4,714.20 : x
  2. Step 2: Convert to fraction form
    9,641.40/14,462.10 = 4,714.20/x
  3. Step 3: Cross multiply
    9,641.40x = 14,462.10 × 4,714.20
  4. Step 4: Simplify right side
    9,641.40x = 68,177,231.82
  5. Step 5: Solve for x
    x = 68,177,231.82/9,641.40
  6. Step 6: Final answer
    x = 7,071.30

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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.