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Finding the Fourth Proportional to 10,097.62, 13,932.98 and 9,281.05

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Solution

The fourth proportional to 10,097.62, 13,932.98 and 9,281.05 is: 12,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.62 : 13,932.98 = 9,281.05 : x
  2. Step 2: Convert to fraction form
    10,097.62/13,932.98 = 9,281.05/x
  3. Step 3: Cross multiply
    10,097.62x = 13,932.98 × 9,281.05
  4. Step 4: Simplify right side
    10,097.62x = 129,312,567.96
  5. Step 5: Solve for x
    x = 129,312,567.96/10,097.62
  6. Step 6: Final answer
    x = 12,806.25

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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.