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Finding the Fourth Proportional to 14,011.86, 19,335.69 and 7,724.10

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Solution

The fourth proportional to 14,011.86, 19,335.69 and 7,724.10 is: 10,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.86 : 19,335.69 = 7,724.10 : x
  2. Step 2: Convert to fraction form
    14,011.86/19,335.69 = 7,724.10/x
  3. Step 3: Cross multiply
    14,011.86x = 19,335.69 × 7,724.10
  4. Step 4: Simplify right side
    14,011.86x = 149,350,803.13
  5. Step 5: Solve for x
    x = 149,350,803.13/14,011.86
  6. Step 6: Final answer
    x = 10,658.88

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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.