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Finding the Fourth Proportional to 10,294.92, 15,461.10 and 9,877.32

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Solution

The fourth proportional to 10,294.92, 15,461.10 and 9,877.32 is: 14,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.92 : 15,461.10 = 9,877.32 : x
  2. Step 2: Convert to fraction form
    10,294.92/15,461.10 = 9,877.32/x
  3. Step 3: Cross multiply
    10,294.92x = 15,461.10 × 9,877.32
  4. Step 4: Simplify right side
    10,294.92x = 152,714,232.25
  5. Step 5: Solve for x
    x = 152,714,232.25/10,294.92
  6. Step 6: Final answer
    x = 14,833.94

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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.