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Finding the Fourth Proportional to 5,312.48, 7,967.03 and 1,934.84

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Solution

The fourth proportional to 5,312.48, 7,967.03 and 1,934.84 is: 2,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.48 : 7,967.03 = 1,934.84 : x
  2. Step 2: Convert to fraction form
    5,312.48/7,967.03 = 1,934.84/x
  3. Step 3: Cross multiply
    5,312.48x = 7,967.03 × 1,934.84
  4. Step 4: Simplify right side
    5,312.48x = 15,414,938.57
  5. Step 5: Solve for x
    x = 15,414,938.57/5,312.48
  6. Step 6: Final answer
    x = 2,901.65

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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.