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Finding the Fourth Proportional to 6,398.60, 9,598.54 and 2,293.64

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Solution

The fourth proportional to 6,398.60, 9,598.54 and 2,293.64 is: 3,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.60 : 9,598.54 = 2,293.64 : x
  2. Step 2: Convert to fraction form
    6,398.60/9,598.54 = 2,293.64/x
  3. Step 3: Cross multiply
    6,398.60x = 9,598.54 × 2,293.64
  4. Step 4: Simplify right side
    6,398.60x = 22,015,595.29
  5. Step 5: Solve for x
    x = 22,015,595.29/6,398.60
  6. Step 6: Final answer
    x = 3,440.69

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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.