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Finding the Fourth Proportional to 35,817.40, 53,726.10 and 9,524.80

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Solution

The fourth proportional to 35,817.40, 53,726.10 and 9,524.80 is: 14,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,817.40 : 53,726.10 = 9,524.80 : x
  2. Step 2: Convert to fraction form
    35,817.40/53,726.10 = 9,524.80/x
  3. Step 3: Cross multiply
    35,817.40x = 53,726.10 × 9,524.80
  4. Step 4: Simplify right side
    35,817.40x = 511,730,357.28
  5. Step 5: Solve for x
    x = 511,730,357.28/35,817.40
  6. Step 6: Final answer
    x = 14,287.20

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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.