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Finding the Fourth Proportional to 6,970.98, 9,614.37 and 6,129.96

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Solution

The fourth proportional to 6,970.98, 9,614.37 and 6,129.96 is: 8,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.98 : 9,614.37 = 6,129.96 : x
  2. Step 2: Convert to fraction form
    6,970.98/9,614.37 = 6,129.96/x
  3. Step 3: Cross multiply
    6,970.98x = 9,614.37 × 6,129.96
  4. Step 4: Simplify right side
    6,970.98x = 58,935,703.53
  5. Step 5: Solve for x
    x = 58,935,703.53/6,970.98
  6. Step 6: Final answer
    x = 8,454.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.