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Finding the Fourth Proportional to 5,295.74, 7,905.47 and 4,911.17

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Solution

The fourth proportional to 5,295.74, 7,905.47 and 4,911.17 is: 7,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.74 : 7,905.47 = 4,911.17 : x
  2. Step 2: Convert to fraction form
    5,295.74/7,905.47 = 4,911.17/x
  3. Step 3: Cross multiply
    5,295.74x = 7,905.47 × 4,911.17
  4. Step 4: Simplify right side
    5,295.74x = 38,825,043.02
  5. Step 5: Solve for x
    x = 38,825,043.02/5,295.74
  6. Step 6: Final answer
    x = 7,331.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.