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Finding the Fourth Proportional to 35,704.92, 53,564.88 and 10,746.80

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Solution

The fourth proportional to 35,704.92, 53,564.88 and 10,746.80 is: 16,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.92 : 53,564.88 = 10,746.80 : x
  2. Step 2: Convert to fraction form
    35,704.92/53,564.88 = 10,746.80/x
  3. Step 3: Cross multiply
    35,704.92x = 53,564.88 × 10,746.80
  4. Step 4: Simplify right side
    35,704.92x = 575,651,052.38
  5. Step 5: Solve for x
    x = 575,651,052.38/35,704.92
  6. Step 6: Final answer
    x = 16,122.46

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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.