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Finding the Fourth Proportional to 15,098.64, 22,624.80 and 6,328.80

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Solution

The fourth proportional to 15,098.64, 22,624.80 and 6,328.80 is: 9,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.64 : 22,624.80 = 6,328.80 : x
  2. Step 2: Convert to fraction form
    15,098.64/22,624.80 = 6,328.80/x
  3. Step 3: Cross multiply
    15,098.64x = 22,624.80 × 6,328.80
  4. Step 4: Simplify right side
    15,098.64x = 143,187,834.24
  5. Step 5: Solve for x
    x = 143,187,834.24/15,098.64
  6. Step 6: Final answer
    x = 9,483.49

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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.