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Finding the Fourth Proportional to 5,264.47, 7,934.26 and 5,264.47

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Solution

The fourth proportional to 5,264.47, 7,934.26 and 5,264.47 is: 7,934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.47 : 7,934.26 = 5,264.47 : x
  2. Step 2: Convert to fraction form
    5,264.47/7,934.26 = 5,264.47/x
  3. Step 3: Cross multiply
    5,264.47x = 7,934.26 × 5,264.47
  4. Step 4: Simplify right side
    5,264.47x = 41,769,673.74
  5. Step 5: Solve for x
    x = 41,769,673.74/5,264.47
  6. Step 6: Final answer
    x = 7,934.26

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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.