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Finding the Fourth Proportional to 8,356.47, 12,532.63 and 3,677.64

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Solution

The fourth proportional to 8,356.47, 12,532.63 and 3,677.64 is: 5,515.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.47 : 12,532.63 = 3,677.64 : x
  2. Step 2: Convert to fraction form
    8,356.47/12,532.63 = 3,677.64/x
  3. Step 3: Cross multiply
    8,356.47x = 12,532.63 × 3,677.64
  4. Step 4: Simplify right side
    8,356.47x = 46,090,501.39
  5. Step 5: Solve for x
    x = 46,090,501.39/8,356.47
  6. Step 6: Final answer
    x = 5,515.55

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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.