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Finding the Fourth Proportional to 10,393.64, 15,572.86 and 6,281

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Solution

The fourth proportional to 10,393.64, 15,572.86 and 6,281 is: 9,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.64 : 15,572.86 = 6,281 : x
  2. Step 2: Convert to fraction form
    10,393.64/15,572.86 = 6,281/x
  3. Step 3: Cross multiply
    10,393.64x = 15,572.86 × 6,281
  4. Step 4: Simplify right side
    10,393.64x = 97,813,133.66
  5. Step 5: Solve for x
    x = 97,813,133.66/10,393.64
  6. Step 6: Final answer
    x = 9,410.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.