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Finding the Fourth Proportional to 6,569.76, 9,854.64 and 2,673.12

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Solution

The fourth proportional to 6,569.76, 9,854.64 and 2,673.12 is: 4,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.76 : 9,854.64 = 2,673.12 : x
  2. Step 2: Convert to fraction form
    6,569.76/9,854.64 = 2,673.12/x
  3. Step 3: Cross multiply
    6,569.76x = 9,854.64 × 2,673.12
  4. Step 4: Simplify right side
    6,569.76x = 26,342,635.28
  5. Step 5: Solve for x
    x = 26,342,635.28/6,569.76
  6. Step 6: Final answer
    x = 4,009.68

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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.