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Finding the Fourth Proportional to 11,284.80, 15,572.98 and 6,316.80

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Solution

The fourth proportional to 11,284.80, 15,572.98 and 6,316.80 is: 8,717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.80 : 15,572.98 = 6,316.80 : x
  2. Step 2: Convert to fraction form
    11,284.80/15,572.98 = 6,316.80/x
  3. Step 3: Cross multiply
    11,284.80x = 15,572.98 × 6,316.80
  4. Step 4: Simplify right side
    11,284.80x = 98,371,306.41
  5. Step 5: Solve for x
    x = 98,371,306.41/11,284.80
  6. Step 6: Final answer
    x = 8,717.15

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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.