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Finding the Fourth Proportional to 12,002.64, 16,564.16 and 6,697.46

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Solution

The fourth proportional to 12,002.64, 16,564.16 and 6,697.46 is: 9,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.64 : 16,564.16 = 6,697.46 : x
  2. Step 2: Convert to fraction form
    12,002.64/16,564.16 = 6,697.46/x
  3. Step 3: Cross multiply
    12,002.64x = 16,564.16 × 6,697.46
  4. Step 4: Simplify right side
    12,002.64x = 110,937,799.03
  5. Step 5: Solve for x
    x = 110,937,799.03/12,002.64
  6. Step 6: Final answer
    x = 9,242.78

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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.