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Finding the Fourth Proportional to 6,532.32, 8,986.24 and 5,732.16

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Solution

The fourth proportional to 6,532.32, 8,986.24 and 5,732.16 is: 7,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.32 : 8,986.24 = 5,732.16 : x
  2. Step 2: Convert to fraction form
    6,532.32/8,986.24 = 5,732.16/x
  3. Step 3: Cross multiply
    6,532.32x = 8,986.24 × 5,732.16
  4. Step 4: Simplify right side
    6,532.32x = 51,510,565.48
  5. Step 5: Solve for x
    x = 51,510,565.48/6,532.32
  6. Step 6: Final answer
    x = 7,885.49

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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.