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Finding the Fourth Proportional to 14,117.52, 19,482.14 and 7,744.14

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Solution

The fourth proportional to 14,117.52, 19,482.14 and 7,744.14 is: 10,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.52 : 19,482.14 = 7,744.14 : x
  2. Step 2: Convert to fraction form
    14,117.52/19,482.14 = 7,744.14/x
  3. Step 3: Cross multiply
    14,117.52x = 19,482.14 × 7,744.14
  4. Step 4: Simplify right side
    14,117.52x = 150,872,419.66
  5. Step 5: Solve for x
    x = 150,872,419.66/14,117.52
  6. Step 6: Final answer
    x = 10,686.89

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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.