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Finding the Fourth Proportional to 7,188.03, 10,782.03 and 2,258.10

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Solution

The fourth proportional to 7,188.03, 10,782.03 and 2,258.10 is: 3,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.03 : 10,782.03 = 2,258.10 : x
  2. Step 2: Convert to fraction form
    7,188.03/10,782.03 = 2,258.10/x
  3. Step 3: Cross multiply
    7,188.03x = 10,782.03 × 2,258.10
  4. Step 4: Simplify right side
    7,188.03x = 24,346,901.94
  5. Step 5: Solve for x
    x = 24,346,901.94/7,188.03
  6. Step 6: Final answer
    x = 3,387.15

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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.