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Finding the Fourth Proportional to 7,295.78, 10,057.02 and 5,721.14

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Solution

The fourth proportional to 7,295.78, 10,057.02 and 5,721.14 is: 7,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.78 : 10,057.02 = 5,721.14 : x
  2. Step 2: Convert to fraction form
    7,295.78/10,057.02 = 5,721.14/x
  3. Step 3: Cross multiply
    7,295.78x = 10,057.02 × 5,721.14
  4. Step 4: Simplify right side
    7,295.78x = 57,537,619.40
  5. Step 5: Solve for x
    x = 57,537,619.40/7,295.78
  6. Step 6: Final answer
    x = 7,886.42

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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.