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Finding the Fourth Proportional to 10,462.62, 14,438.62 and 5,747.08

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Solution

The fourth proportional to 10,462.62, 14,438.62 and 5,747.08 is: 7,931.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.62 : 14,438.62 = 5,747.08 : x
  2. Step 2: Convert to fraction form
    10,462.62/14,438.62 = 5,747.08/x
  3. Step 3: Cross multiply
    10,462.62x = 14,438.62 × 5,747.08
  4. Step 4: Simplify right side
    10,462.62x = 82,979,904.23
  5. Step 5: Solve for x
    x = 82,979,904.23/10,462.62
  6. Step 6: Final answer
    x = 7,931.08

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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.