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Finding the Fourth Proportional to 5,971.72, 8,947.32 and 4,658.08

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Solution

The fourth proportional to 5,971.72, 8,947.32 and 4,658.08 is: 6,979.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.72 : 8,947.32 = 4,658.08 : x
  2. Step 2: Convert to fraction form
    5,971.72/8,947.32 = 4,658.08/x
  3. Step 3: Cross multiply
    5,971.72x = 8,947.32 × 4,658.08
  4. Step 4: Simplify right side
    5,971.72x = 41,677,332.35
  5. Step 5: Solve for x
    x = 41,677,332.35/5,971.72
  6. Step 6: Final answer
    x = 6,979.12

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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.