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Finding the Fourth Proportional to 4,926.40, 7,348.06 and 4,187.68

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Solution

The fourth proportional to 4,926.40, 7,348.06 and 4,187.68 is: 6,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.40 : 7,348.06 = 4,187.68 : x
  2. Step 2: Convert to fraction form
    4,926.40/7,348.06 = 4,187.68/x
  3. Step 3: Cross multiply
    4,926.40x = 7,348.06 × 4,187.68
  4. Step 4: Simplify right side
    4,926.40x = 30,771,323.90
  5. Step 5: Solve for x
    x = 30,771,323.90/4,926.40
  6. Step 6: Final answer
    x = 6,246.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.