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Finding the Fourth Proportional to 5,101.60, 7,652.40 and 1,404.22

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Solution

The fourth proportional to 5,101.60, 7,652.40 and 1,404.22 is: 2,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.60 : 7,652.40 = 1,404.22 : x
  2. Step 2: Convert to fraction form
    5,101.60/7,652.40 = 1,404.22/x
  3. Step 3: Cross multiply
    5,101.60x = 7,652.40 × 1,404.22
  4. Step 4: Simplify right side
    5,101.60x = 10,745,653.13
  5. Step 5: Solve for x
    x = 10,745,653.13/5,101.60
  6. Step 6: Final answer
    x = 2,106.33

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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.