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Finding the Fourth Proportional to 10,498.80, 15,764.40 and 6,124.80

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Solution

The fourth proportional to 10,498.80, 15,764.40 and 6,124.80 is: 9,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.80 : 15,764.40 = 6,124.80 : x
  2. Step 2: Convert to fraction form
    10,498.80/15,764.40 = 6,124.80/x
  3. Step 3: Cross multiply
    10,498.80x = 15,764.40 × 6,124.80
  4. Step 4: Simplify right side
    10,498.80x = 96,553,797.12
  5. Step 5: Solve for x
    x = 96,553,797.12/10,498.80
  6. Step 6: Final answer
    x = 9,196.65

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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.