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Finding the Fourth Proportional to 10,374.62, 14,316.92 and 5,658.90

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Solution

The fourth proportional to 10,374.62, 14,316.92 and 5,658.90 is: 7,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.62 : 14,316.92 = 5,658.90 : x
  2. Step 2: Convert to fraction form
    10,374.62/14,316.92 = 5,658.90/x
  3. Step 3: Cross multiply
    10,374.62x = 14,316.92 × 5,658.90
  4. Step 4: Simplify right side
    10,374.62x = 81,018,018.59
  5. Step 5: Solve for x
    x = 81,018,018.59/10,374.62
  6. Step 6: Final answer
    x = 7,809.25

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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.