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Finding the Fourth Proportional to 35,641.40, 53,462.10 and 9,348.80

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Solution

The fourth proportional to 35,641.40, 53,462.10 and 9,348.80 is: 14,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,641.40 : 53,462.10 = 9,348.80 : x
  2. Step 2: Convert to fraction form
    35,641.40/53,462.10 = 9,348.80/x
  3. Step 3: Cross multiply
    35,641.40x = 53,462.10 × 9,348.80
  4. Step 4: Simplify right side
    35,641.40x = 499,806,480.48
  5. Step 5: Solve for x
    x = 499,806,480.48/35,641.40
  6. Step 6: Final answer
    x = 14,023.20

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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.