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Finding the Fourth Proportional to 35,451.64, 53,177.64 and 9,154.57

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Solution

The fourth proportional to 35,451.64, 53,177.64 and 9,154.57 is: 13,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,451.64 : 53,177.64 = 9,154.57 : x
  2. Step 2: Convert to fraction form
    35,451.64/53,177.64 = 9,154.57/x
  3. Step 3: Cross multiply
    35,451.64x = 53,177.64 × 9,154.57
  4. Step 4: Simplify right side
    35,451.64x = 486,818,427.81
  5. Step 5: Solve for x
    x = 486,818,427.81/35,451.64
  6. Step 6: Final answer
    x = 13,731.90

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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.