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Finding the Fourth Proportional to 6,465.20, 9,697.80 and 1,848.20

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Solution

The fourth proportional to 6,465.20, 9,697.80 and 1,848.20 is: 2,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.20 : 9,697.80 = 1,848.20 : x
  2. Step 2: Convert to fraction form
    6,465.20/9,697.80 = 1,848.20/x
  3. Step 3: Cross multiply
    6,465.20x = 9,697.80 × 1,848.20
  4. Step 4: Simplify right side
    6,465.20x = 17,923,473.96
  5. Step 5: Solve for x
    x = 17,923,473.96/6,465.20
  6. Step 6: Final answer
    x = 2,772.30

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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.