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Finding the Fourth Proportional to 10,671.85, 14,728.14 and 5,892.65

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Solution

The fourth proportional to 10,671.85, 14,728.14 and 5,892.65 is: 8,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.85 : 14,728.14 = 5,892.65 : x
  2. Step 2: Convert to fraction form
    10,671.85/14,728.14 = 5,892.65/x
  3. Step 3: Cross multiply
    10,671.85x = 14,728.14 × 5,892.65
  4. Step 4: Simplify right side
    10,671.85x = 86,787,774.17
  5. Step 5: Solve for x
    x = 86,787,774.17/10,671.85
  6. Step 6: Final answer
    x = 8,132.40

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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.