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Finding the Fourth Proportional to 19,693.59, 29,521.70 and 7,854.64

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Solution

The fourth proportional to 19,693.59, 29,521.70 and 7,854.64 is: 11,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.59 : 29,521.70 = 7,854.64 : x
  2. Step 2: Convert to fraction form
    19,693.59/29,521.70 = 7,854.64/x
  3. Step 3: Cross multiply
    19,693.59x = 29,521.70 × 7,854.64
  4. Step 4: Simplify right side
    19,693.59x = 231,882,325.69
  5. Step 5: Solve for x
    x = 231,882,325.69/19,693.59
  6. Step 6: Final answer
    x = 11,774.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.