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Finding the Fourth Proportional to 8,972.32, 13,447.50 and 6,774.16

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Solution

The fourth proportional to 8,972.32, 13,447.50 and 6,774.16 is: 10,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.32 : 13,447.50 = 6,774.16 : x
  2. Step 2: Convert to fraction form
    8,972.32/13,447.50 = 6,774.16/x
  3. Step 3: Cross multiply
    8,972.32x = 13,447.50 × 6,774.16
  4. Step 4: Simplify right side
    8,972.32x = 91,095,516.60
  5. Step 5: Solve for x
    x = 91,095,516.60/8,972.32
  6. Step 6: Final answer
    x = 10,152.95

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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.