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Finding the Fourth Proportional to 8,356.62, 11,532.14 and 4,580.02

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Solution

The fourth proportional to 8,356.62, 11,532.14 and 4,580.02 is: 6,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.62 : 11,532.14 = 4,580.02 : x
  2. Step 2: Convert to fraction form
    8,356.62/11,532.14 = 4,580.02/x
  3. Step 3: Cross multiply
    8,356.62x = 11,532.14 × 4,580.02
  4. Step 4: Simplify right side
    8,356.62x = 52,817,431.84
  5. Step 5: Solve for x
    x = 52,817,431.84/8,356.62
  6. Step 6: Final answer
    x = 6,320.43

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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.