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Finding the Fourth Proportional to 14,213.02, 19,614 and 7,925.80

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Solution

The fourth proportional to 14,213.02, 19,614 and 7,925.80 is: 10,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.02 : 19,614 = 7,925.80 : x
  2. Step 2: Convert to fraction form
    14,213.02/19,614 = 7,925.80/x
  3. Step 3: Cross multiply
    14,213.02x = 19,614 × 7,925.80
  4. Step 4: Simplify right side
    14,213.02x = 155,456,641.20
  5. Step 5: Solve for x
    x = 155,456,641.20/14,213.02
  6. Step 6: Final answer
    x = 10,937.62

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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.