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Finding the Fourth Proportional to 6,347.03, 9,509.77 and 4,489.06

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Solution

The fourth proportional to 6,347.03, 9,509.77 and 4,489.06 is: 6,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.03 : 9,509.77 = 4,489.06 : x
  2. Step 2: Convert to fraction form
    6,347.03/9,509.77 = 4,489.06/x
  3. Step 3: Cross multiply
    6,347.03x = 9,509.77 × 4,489.06
  4. Step 4: Simplify right side
    6,347.03x = 42,689,928.12
  5. Step 5: Solve for x
    x = 42,689,928.12/6,347.03
  6. Step 6: Final answer
    x = 6,725.97

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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.