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Finding the Fourth Proportional to 10,574.80, 15,862.20 and 9,806.80

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Solution

The fourth proportional to 10,574.80, 15,862.20 and 9,806.80 is: 14,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.80 : 15,862.20 = 9,806.80 : x
  2. Step 2: Convert to fraction form
    10,574.80/15,862.20 = 9,806.80/x
  3. Step 3: Cross multiply
    10,574.80x = 15,862.20 × 9,806.80
  4. Step 4: Simplify right side
    10,574.80x = 155,557,422.96
  5. Step 5: Solve for x
    x = 155,557,422.96/10,574.80
  6. Step 6: Final answer
    x = 14,710.20

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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.