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Finding the Fourth Proportional to 35,897.23, 53,847.87 and 10,938.16

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Solution

The fourth proportional to 35,897.23, 53,847.87 and 10,938.16 is: 16,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.23 : 53,847.87 = 10,938.16 : x
  2. Step 2: Convert to fraction form
    35,897.23/53,847.87 = 10,938.16/x
  3. Step 3: Cross multiply
    35,897.23x = 53,847.87 × 10,938.16
  4. Step 4: Simplify right side
    35,897.23x = 588,996,617.72
  5. Step 5: Solve for x
    x = 588,996,617.72/35,897.23
  6. Step 6: Final answer
    x = 16,407.86

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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.