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Finding the Fourth Proportional to 6,569.60, 9,854.40 and 4,371.20

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Solution

The fourth proportional to 6,569.60, 9,854.40 and 4,371.20 is: 6,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.60 : 9,854.40 = 4,371.20 : x
  2. Step 2: Convert to fraction form
    6,569.60/9,854.40 = 4,371.20/x
  3. Step 3: Cross multiply
    6,569.60x = 9,854.40 × 4,371.20
  4. Step 4: Simplify right side
    6,569.60x = 43,075,553.28
  5. Step 5: Solve for x
    x = 43,075,553.28/6,569.60
  6. Step 6: Final answer
    x = 6,556.80

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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.