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Finding the Fourth Proportional to 6,444.48, 9,677.64 and 3,528.48

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Solution

The fourth proportional to 6,444.48, 9,677.64 and 3,528.48 is: 5,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.48 : 9,677.64 = 3,528.48 : x
  2. Step 2: Convert to fraction form
    6,444.48/9,677.64 = 3,528.48/x
  3. Step 3: Cross multiply
    6,444.48x = 9,677.64 × 3,528.48
  4. Step 4: Simplify right side
    6,444.48x = 34,147,359.19
  5. Step 5: Solve for x
    x = 34,147,359.19/6,444.48
  6. Step 6: Final answer
    x = 5,298.70

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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.