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Finding the Fourth Proportional to 5,226.74, 7,868.63 and 4,767.47

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Solution

The fourth proportional to 5,226.74, 7,868.63 and 4,767.47 is: 7,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.74 : 7,868.63 = 4,767.47 : x
  2. Step 2: Convert to fraction form
    5,226.74/7,868.63 = 4,767.47/x
  3. Step 3: Cross multiply
    5,226.74x = 7,868.63 × 4,767.47
  4. Step 4: Simplify right side
    5,226.74x = 37,513,457.47
  5. Step 5: Solve for x
    x = 37,513,457.47/5,226.74
  6. Step 6: Final answer
    x = 7,177.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.