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Finding the Fourth Proportional to 6,765.78, 9,343.16 and 6,397.63

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Solution

The fourth proportional to 6,765.78, 9,343.16 and 6,397.63 is: 8,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.78 : 9,343.16 = 6,397.63 : x
  2. Step 2: Convert to fraction form
    6,765.78/9,343.16 = 6,397.63/x
  3. Step 3: Cross multiply
    6,765.78x = 9,343.16 × 6,397.63
  4. Step 4: Simplify right side
    6,765.78x = 59,774,080.71
  5. Step 5: Solve for x
    x = 59,774,080.71/6,765.78
  6. Step 6: Final answer
    x = 8,834.77

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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.