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Finding the Fourth Proportional to 8,904.97, 13,345.16 and 7,732.19

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Solution

The fourth proportional to 8,904.97, 13,345.16 and 7,732.19 is: 11,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,904.97 : 13,345.16 = 7,732.19 : x
  2. Step 2: Convert to fraction form
    8,904.97/13,345.16 = 7,732.19/x
  3. Step 3: Cross multiply
    8,904.97x = 13,345.16 × 7,732.19
  4. Step 4: Simplify right side
    8,904.97x = 103,187,307.40
  5. Step 5: Solve for x
    x = 103,187,307.40/8,904.97
  6. Step 6: Final answer
    x = 11,587.61

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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.