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Finding the Fourth Proportional to 4,967.95, 7,451.90 and 1,270.18

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Solution

The fourth proportional to 4,967.95, 7,451.90 and 1,270.18 is: 1,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.95 : 7,451.90 = 1,270.18 : x
  2. Step 2: Convert to fraction form
    4,967.95/7,451.90 = 1,270.18/x
  3. Step 3: Cross multiply
    4,967.95x = 7,451.90 × 1,270.18
  4. Step 4: Simplify right side
    4,967.95x = 9,465,215.49
  5. Step 5: Solve for x
    x = 9,465,215.49/4,967.95
  6. Step 6: Final answer
    x = 1,905.25

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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.