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Finding the Fourth Proportional to 6,569.60, 9,060.92 and 4,211.92

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Solution

The fourth proportional to 6,569.60, 9,060.92 and 4,211.92 is: 5,809.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.60 : 9,060.92 = 4,211.92 : x
  2. Step 2: Convert to fraction form
    6,569.60/9,060.92 = 4,211.92/x
  3. Step 3: Cross multiply
    6,569.60x = 9,060.92 × 4,211.92
  4. Step 4: Simplify right side
    6,569.60x = 38,163,870.17
  5. Step 5: Solve for x
    x = 38,163,870.17/6,569.60
  6. Step 6: Final answer
    x = 5,809.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.