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Finding the Fourth Proportional to 10,547.92, 15,822.06 and 8,691.76

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Solution

The fourth proportional to 10,547.92, 15,822.06 and 8,691.76 is: 13,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.92 : 15,822.06 = 8,691.76 : x
  2. Step 2: Convert to fraction form
    10,547.92/15,822.06 = 8,691.76/x
  3. Step 3: Cross multiply
    10,547.92x = 15,822.06 × 8,691.76
  4. Step 4: Simplify right side
    10,547.92x = 137,521,548.23
  5. Step 5: Solve for x
    x = 137,521,548.23/10,547.92
  6. Step 6: Final answer
    x = 13,037.79

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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.