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Finding the Fourth Proportional to 6,354.68, 9,464.25 and 5,977.76

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Solution

The fourth proportional to 6,354.68, 9,464.25 and 5,977.76 is: 8,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.68 : 9,464.25 = 5,977.76 : x
  2. Step 2: Convert to fraction form
    6,354.68/9,464.25 = 5,977.76/x
  3. Step 3: Cross multiply
    6,354.68x = 9,464.25 × 5,977.76
  4. Step 4: Simplify right side
    6,354.68x = 56,574,985.19
  5. Step 5: Solve for x
    x = 56,574,985.19/6,354.68
  6. Step 6: Final answer
    x = 8,902.88

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.