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Finding the Fourth Proportional to 7,152.78, 9,871.20 and 4,009.14

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Solution

The fourth proportional to 7,152.78, 9,871.20 and 4,009.14 is: 5,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.78 : 9,871.20 = 4,009.14 : x
  2. Step 2: Convert to fraction form
    7,152.78/9,871.20 = 4,009.14/x
  3. Step 3: Cross multiply
    7,152.78x = 9,871.20 × 4,009.14
  4. Step 4: Simplify right side
    7,152.78x = 39,575,022.77
  5. Step 5: Solve for x
    x = 39,575,022.77/7,152.78
  6. Step 6: Final answer
    x = 5,532.82

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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.