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Finding the Fourth Proportional to 8,977.32, 12,377.12 and 7,356.20

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Solution

The fourth proportional to 8,977.32, 12,377.12 and 7,356.20 is: 10,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.32 : 12,377.12 = 7,356.20 : x
  2. Step 2: Convert to fraction form
    8,977.32/12,377.12 = 7,356.20/x
  3. Step 3: Cross multiply
    8,977.32x = 12,377.12 × 7,356.20
  4. Step 4: Simplify right side
    8,977.32x = 91,048,494.68
  5. Step 5: Solve for x
    x = 91,048,494.68/8,977.32
  6. Step 6: Final answer
    x = 10,142.06

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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.