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Finding the Fourth Proportional to 10,296.29, 15,311.98 and 9,968.24

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Solution

The fourth proportional to 10,296.29, 15,311.98 and 9,968.24 is: 14,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.29 : 15,311.98 = 9,968.24 : x
  2. Step 2: Convert to fraction form
    10,296.29/15,311.98 = 9,968.24/x
  3. Step 3: Cross multiply
    10,296.29x = 15,311.98 × 9,968.24
  4. Step 4: Simplify right side
    10,296.29x = 152,633,454.13
  5. Step 5: Solve for x
    x = 152,633,454.13/10,296.29
  6. Step 6: Final answer
    x = 14,824.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.