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Finding the Fourth Proportional to 15,652.16, 23,478.24 and 3,965.44

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Solution

The fourth proportional to 15,652.16, 23,478.24 and 3,965.44 is: 5,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,652.16 : 23,478.24 = 3,965.44 : x
  2. Step 2: Convert to fraction form
    15,652.16/23,478.24 = 3,965.44/x
  3. Step 3: Cross multiply
    15,652.16x = 23,478.24 × 3,965.44
  4. Step 4: Simplify right side
    15,652.16x = 93,101,552.03
  5. Step 5: Solve for x
    x = 93,101,552.03/15,652.16
  6. Step 6: Final answer
    x = 5,948.16

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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.