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Finding the Fourth Proportional to 8,967.64, 12,375 and 4,988.62

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Solution

The fourth proportional to 8,967.64, 12,375 and 4,988.62 is: 6,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.64 : 12,375 = 4,988.62 : x
  2. Step 2: Convert to fraction form
    8,967.64/12,375 = 4,988.62/x
  3. Step 3: Cross multiply
    8,967.64x = 12,375 × 4,988.62
  4. Step 4: Simplify right side
    8,967.64x = 61,734,172.50
  5. Step 5: Solve for x
    x = 61,734,172.50/8,967.64
  6. Step 6: Final answer
    x = 6,884.10

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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.