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Finding the Fourth Proportional to 15,684.59, 23,506.12 and 7,349.68

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Solution

The fourth proportional to 15,684.59, 23,506.12 and 7,349.68 is: 11,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.59 : 23,506.12 = 7,349.68 : x
  2. Step 2: Convert to fraction form
    15,684.59/23,506.12 = 7,349.68/x
  3. Step 3: Cross multiply
    15,684.59x = 23,506.12 × 7,349.68
  4. Step 4: Simplify right side
    15,684.59x = 172,762,498.61
  5. Step 5: Solve for x
    x = 172,762,498.61/15,684.59
  6. Step 6: Final answer
    x = 11,014.79

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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.