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Finding the Fourth Proportional to 4,894.74, 7,342.65 and 1,432.26

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Solution

The fourth proportional to 4,894.74, 7,342.65 and 1,432.26 is: 2,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.74 : 7,342.65 = 1,432.26 : x
  2. Step 2: Convert to fraction form
    4,894.74/7,342.65 = 1,432.26/x
  3. Step 3: Cross multiply
    4,894.74x = 7,342.65 × 1,432.26
  4. Step 4: Simplify right side
    4,894.74x = 10,516,583.89
  5. Step 5: Solve for x
    x = 10,516,583.89/4,894.74
  6. Step 6: Final answer
    x = 2,148.55

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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.