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Finding the Fourth Proportional to 6,459.60, 9,703.80 and 6,286.80

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Solution

The fourth proportional to 6,459.60, 9,703.80 and 6,286.80 is: 9,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.60 : 9,703.80 = 6,286.80 : x
  2. Step 2: Convert to fraction form
    6,459.60/9,703.80 = 6,286.80/x
  3. Step 3: Cross multiply
    6,459.60x = 9,703.80 × 6,286.80
  4. Step 4: Simplify right side
    6,459.60x = 61,005,849.84
  5. Step 5: Solve for x
    x = 61,005,849.84/6,459.60
  6. Step 6: Final answer
    x = 9,444.21

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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.