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Finding the Fourth Proportional to 6,569.32, 9,854.30 and 2,465

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Solution

The fourth proportional to 6,569.32, 9,854.30 and 2,465 is: 3,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.32 : 9,854.30 = 2,465 : x
  2. Step 2: Convert to fraction form
    6,569.32/9,854.30 = 2,465/x
  3. Step 3: Cross multiply
    6,569.32x = 9,854.30 × 2,465
  4. Step 4: Simplify right side
    6,569.32x = 24,290,849.50
  5. Step 5: Solve for x
    x = 24,290,849.50/6,569.32
  6. Step 6: Final answer
    x = 3,697.62

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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.