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Finding the Fourth Proportional to 7,295, 10,067.64 and 4,152.20

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Solution

The fourth proportional to 7,295, 10,067.64 and 4,152.20 is: 5,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295 : 10,067.64 = 4,152.20 : x
  2. Step 2: Convert to fraction form
    7,295/10,067.64 = 4,152.20/x
  3. Step 3: Cross multiply
    7,295x = 10,067.64 × 4,152.20
  4. Step 4: Simplify right side
    7,295x = 41,802,854.81
  5. Step 5: Solve for x
    x = 41,802,854.81/7,295
  6. Step 6: Final answer
    x = 5,730.34

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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.