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Finding the Fourth Proportional to 6,444.51, 9,658.12 and 5,304.03

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Solution

The fourth proportional to 6,444.51, 9,658.12 and 5,304.03 is: 7,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.51 : 9,658.12 = 5,304.03 : x
  2. Step 2: Convert to fraction form
    6,444.51/9,658.12 = 5,304.03/x
  3. Step 3: Cross multiply
    6,444.51x = 9,658.12 × 5,304.03
  4. Step 4: Simplify right side
    6,444.51x = 51,226,958.22
  5. Step 5: Solve for x
    x = 51,226,958.22/6,444.51
  6. Step 6: Final answer
    x = 7,948.93

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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.