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Finding the Fourth Proportional to 4,294.62, 6,444.90 and 1,697.76

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Solution

The fourth proportional to 4,294.62, 6,444.90 and 1,697.76 is: 2,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.62 : 6,444.90 = 1,697.76 : x
  2. Step 2: Convert to fraction form
    4,294.62/6,444.90 = 1,697.76/x
  3. Step 3: Cross multiply
    4,294.62x = 6,444.90 × 1,697.76
  4. Step 4: Simplify right side
    4,294.62x = 10,941,893.42
  5. Step 5: Solve for x
    x = 10,941,893.42/4,294.62
  6. Step 6: Final answer
    x = 2,547.81

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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.