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Finding the Fourth Proportional to 7,216.32, 9,957.12 and 4,232.16

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Solution

The fourth proportional to 7,216.32, 9,957.12 and 4,232.16 is: 5,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.32 : 9,957.12 = 4,232.16 : x
  2. Step 2: Convert to fraction form
    7,216.32/9,957.12 = 4,232.16/x
  3. Step 3: Cross multiply
    7,216.32x = 9,957.12 × 4,232.16
  4. Step 4: Simplify right side
    7,216.32x = 42,140,124.98
  5. Step 5: Solve for x
    x = 42,140,124.98/7,216.32
  6. Step 6: Final answer
    x = 5,839.56

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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.