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Finding the Fourth Proportional to 10,563.80, 15,839.80 and 4,328.16

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Solution

The fourth proportional to 10,563.80, 15,839.80 and 4,328.16 is: 6,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.80 : 15,839.80 = 4,328.16 : x
  2. Step 2: Convert to fraction form
    10,563.80/15,839.80 = 4,328.16/x
  3. Step 3: Cross multiply
    10,563.80x = 15,839.80 × 4,328.16
  4. Step 4: Simplify right side
    10,563.80x = 68,557,188.77
  5. Step 5: Solve for x
    x = 68,557,188.77/10,563.80
  6. Step 6: Final answer
    x = 6,489.82

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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.