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Finding the Fourth Proportional to 7,894.32, 10,894.56 and 5,237.20

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Solution

The fourth proportional to 7,894.32, 10,894.56 and 5,237.20 is: 7,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.32 : 10,894.56 = 5,237.20 : x
  2. Step 2: Convert to fraction form
    7,894.32/10,894.56 = 5,237.20/x
  3. Step 3: Cross multiply
    7,894.32x = 10,894.56 × 5,237.20
  4. Step 4: Simplify right side
    7,894.32x = 57,056,989.63
  5. Step 5: Solve for x
    x = 57,056,989.63/7,894.32
  6. Step 6: Final answer
    x = 7,227.60

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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.