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Finding the Fourth Proportional to 7,426.97, 10,249 and 4,069.71

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Solution

The fourth proportional to 7,426.97, 10,249 and 4,069.71 is: 5,616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426.97 : 10,249 = 4,069.71 : x
  2. Step 2: Convert to fraction form
    7,426.97/10,249 = 4,069.71/x
  3. Step 3: Cross multiply
    7,426.97x = 10,249 × 4,069.71
  4. Step 4: Simplify right side
    7,426.97x = 41,710,457.79
  5. Step 5: Solve for x
    x = 41,710,457.79/7,426.97
  6. Step 6: Final answer
    x = 5,616.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.