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Finding the Fourth Proportional to 9,497.87, 13,098.53 and 7,909.76

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Solution

The fourth proportional to 9,497.87, 13,098.53 and 7,909.76 is: 10,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.87 : 13,098.53 = 7,909.76 : x
  2. Step 2: Convert to fraction form
    9,497.87/13,098.53 = 7,909.76/x
  3. Step 3: Cross multiply
    9,497.87x = 13,098.53 × 7,909.76
  4. Step 4: Simplify right side
    9,497.87x = 103,606,281.17
  5. Step 5: Solve for x
    x = 103,606,281.17/9,497.87
  6. Step 6: Final answer
    x = 10,908.37

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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.