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Finding the Fourth Proportional to 6,569.90, 9,854.44 and 2,674.20

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Solution

The fourth proportional to 6,569.90, 9,854.44 and 2,674.20 is: 4,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.90 : 9,854.44 = 2,674.20 : x
  2. Step 2: Convert to fraction form
    6,569.90/9,854.44 = 2,674.20/x
  3. Step 3: Cross multiply
    6,569.90x = 9,854.44 × 2,674.20
  4. Step 4: Simplify right side
    6,569.90x = 26,352,743.45
  5. Step 5: Solve for x
    x = 26,352,743.45/6,569.90
  6. Step 6: Final answer
    x = 4,011.13

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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.