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Finding the Fourth Proportional to 9,497.61, 13,110.36 and 8,501.13

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Solution

The fourth proportional to 9,497.61, 13,110.36 and 8,501.13 is: 11,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.61 : 13,110.36 = 8,501.13 : x
  2. Step 2: Convert to fraction form
    9,497.61/13,110.36 = 8,501.13/x
  3. Step 3: Cross multiply
    9,497.61x = 13,110.36 × 8,501.13
  4. Step 4: Simplify right side
    9,497.61x = 111,452,874.71
  5. Step 5: Solve for x
    x = 111,452,874.71/9,497.61
  6. Step 6: Final answer
    x = 11,734.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.