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Finding the Fourth Proportional to 9,607.87, 13,264.92 and 7,365.59

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Solution

The fourth proportional to 9,607.87, 13,264.92 and 7,365.59 is: 10,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.87 : 13,264.92 = 7,365.59 : x
  2. Step 2: Convert to fraction form
    9,607.87/13,264.92 = 7,365.59/x
  3. Step 3: Cross multiply
    9,607.87x = 13,264.92 × 7,365.59
  4. Step 4: Simplify right side
    9,607.87x = 97,703,962.10
  5. Step 5: Solve for x
    x = 97,703,962.10/9,607.87
  6. Step 6: Final answer
    x = 10,169.16

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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.