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Finding the Fourth Proportional to 9,714.92, 14,573.10 and 4,166.60

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Solution

The fourth proportional to 9,714.92, 14,573.10 and 4,166.60 is: 6,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.92 : 14,573.10 = 4,166.60 : x
  2. Step 2: Convert to fraction form
    9,714.92/14,573.10 = 4,166.60/x
  3. Step 3: Cross multiply
    9,714.92x = 14,573.10 × 4,166.60
  4. Step 4: Simplify right side
    9,714.92x = 60,720,278.46
  5. Step 5: Solve for x
    x = 60,720,278.46/9,714.92
  6. Step 6: Final answer
    x = 6,250.21

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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.