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Finding the Fourth Proportional to 6,569.01, 9,810.20 and 5,843.25

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Solution

The fourth proportional to 6,569.01, 9,810.20 and 5,843.25 is: 8,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.01 : 9,810.20 = 5,843.25 : x
  2. Step 2: Convert to fraction form
    6,569.01/9,810.20 = 5,843.25/x
  3. Step 3: Cross multiply
    6,569.01x = 9,810.20 × 5,843.25
  4. Step 4: Simplify right side
    6,569.01x = 57,323,465.76
  5. Step 5: Solve for x
    x = 57,323,465.76/6,569.01
  6. Step 6: Final answer
    x = 8,726.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.