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Finding the Fourth Proportional to 7,275.76, 10,040.69 and 5,684.26

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Solution

The fourth proportional to 7,275.76, 10,040.69 and 5,684.26 is: 7,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275.76 : 10,040.69 = 5,684.26 : x
  2. Step 2: Convert to fraction form
    7,275.76/10,040.69 = 5,684.26/x
  3. Step 3: Cross multiply
    7,275.76x = 10,040.69 × 5,684.26
  4. Step 4: Simplify right side
    7,275.76x = 57,073,813.91
  5. Step 5: Solve for x
    x = 57,073,813.91/7,275.76
  6. Step 6: Final answer
    x = 7,844.38

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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.