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Finding the Fourth Proportional to 4,465.22, 6,693.48 and 1,542.74

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Solution

The fourth proportional to 4,465.22, 6,693.48 and 1,542.74 is: 2,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.22 : 6,693.48 = 1,542.74 : x
  2. Step 2: Convert to fraction form
    4,465.22/6,693.48 = 1,542.74/x
  3. Step 3: Cross multiply
    4,465.22x = 6,693.48 × 1,542.74
  4. Step 4: Simplify right side
    4,465.22x = 10,326,299.34
  5. Step 5: Solve for x
    x = 10,326,299.34/4,465.22
  6. Step 6: Final answer
    x = 2,312.61

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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.