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Finding the Fourth Proportional to 10,297.20, 15,424.20 and 8,569.20

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Solution

The fourth proportional to 10,297.20, 15,424.20 and 8,569.20 is: 12,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.20 : 15,424.20 = 8,569.20 : x
  2. Step 2: Convert to fraction form
    10,297.20/15,424.20 = 8,569.20/x
  3. Step 3: Cross multiply
    10,297.20x = 15,424.20 × 8,569.20
  4. Step 4: Simplify right side
    10,297.20x = 132,173,054.64
  5. Step 5: Solve for x
    x = 132,173,054.64/10,297.20
  6. Step 6: Final answer
    x = 12,835.82

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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.