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Finding the Fourth Proportional to 13,624.74, 18,801.62 and 7,656.66

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Solution

The fourth proportional to 13,624.74, 18,801.62 and 7,656.66 is: 10,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.74 : 18,801.62 = 7,656.66 : x
  2. Step 2: Convert to fraction form
    13,624.74/18,801.62 = 7,656.66/x
  3. Step 3: Cross multiply
    13,624.74x = 18,801.62 × 7,656.66
  4. Step 4: Simplify right side
    13,624.74x = 143,957,602.22
  5. Step 5: Solve for x
    x = 143,957,602.22/13,624.74
  6. Step 6: Final answer
    x = 10,565.90

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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.