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Finding the Fourth Proportional to 9,865.62, 13,614.12 and 5,389.16

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Solution

The fourth proportional to 9,865.62, 13,614.12 and 5,389.16 is: 7,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.62 : 13,614.12 = 5,389.16 : x
  2. Step 2: Convert to fraction form
    9,865.62/13,614.12 = 5,389.16/x
  3. Step 3: Cross multiply
    9,865.62x = 13,614.12 × 5,389.16
  4. Step 4: Simplify right side
    9,865.62x = 73,368,602.87
  5. Step 5: Solve for x
    x = 73,368,602.87/9,865.62
  6. Step 6: Final answer
    x = 7,436.80

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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.