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Finding the Fourth Proportional to 8,547.56, 12,805.94 and 8,032.92

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Solution

The fourth proportional to 8,547.56, 12,805.94 and 8,032.92 is: 12,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.56 : 12,805.94 = 8,032.92 : x
  2. Step 2: Convert to fraction form
    8,547.56/12,805.94 = 8,032.92/x
  3. Step 3: Cross multiply
    8,547.56x = 12,805.94 × 8,032.92
  4. Step 4: Simplify right side
    8,547.56x = 102,869,091.54
  5. Step 5: Solve for x
    x = 102,869,091.54/8,547.56
  6. Step 6: Final answer
    x = 12,034.91

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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.