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Finding the Fourth Proportional to 7,148.40, 10,722.60 and 1,883.40

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Solution

The fourth proportional to 7,148.40, 10,722.60 and 1,883.40 is: 2,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.40 : 10,722.60 = 1,883.40 : x
  2. Step 2: Convert to fraction form
    7,148.40/10,722.60 = 1,883.40/x
  3. Step 3: Cross multiply
    7,148.40x = 10,722.60 × 1,883.40
  4. Step 4: Simplify right side
    7,148.40x = 20,194,944.84
  5. Step 5: Solve for x
    x = 20,194,944.84/7,148.40
  6. Step 6: Final answer
    x = 2,825.10

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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.