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Finding the Fourth Proportional to 16,323.61, 24,497.72 and 7,564.68

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Solution

The fourth proportional to 16,323.61, 24,497.72 and 7,564.68 is: 11,352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.61 : 24,497.72 = 7,564.68 : x
  2. Step 2: Convert to fraction form
    16,323.61/24,497.72 = 7,564.68/x
  3. Step 3: Cross multiply
    16,323.61x = 24,497.72 × 7,564.68
  4. Step 4: Simplify right side
    16,323.61x = 185,317,412.53
  5. Step 5: Solve for x
    x = 185,317,412.53/16,323.61
  6. Step 6: Final answer
    x = 11,352.72

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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.