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Finding the Fourth Proportional to 7,924.95, 10,945.62 and 5,267.75

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Solution

The fourth proportional to 7,924.95, 10,945.62 and 5,267.75 is: 7,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.95 : 10,945.62 = 5,267.75 : x
  2. Step 2: Convert to fraction form
    7,924.95/10,945.62 = 5,267.75/x
  3. Step 3: Cross multiply
    7,924.95x = 10,945.62 × 5,267.75
  4. Step 4: Simplify right side
    7,924.95x = 57,658,735.03
  5. Step 5: Solve for x
    x = 57,658,735.03/7,924.95
  6. Step 6: Final answer
    x = 7,275.60

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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.