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Finding the Fourth Proportional to 7,875.20, 11,812.80 and 7,243.40

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Solution

The fourth proportional to 7,875.20, 11,812.80 and 7,243.40 is: 10,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.20 : 11,812.80 = 7,243.40 : x
  2. Step 2: Convert to fraction form
    7,875.20/11,812.80 = 7,243.40/x
  3. Step 3: Cross multiply
    7,875.20x = 11,812.80 × 7,243.40
  4. Step 4: Simplify right side
    7,875.20x = 85,564,835.52
  5. Step 5: Solve for x
    x = 85,564,835.52/7,875.20
  6. Step 6: Final answer
    x = 10,865.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.