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Finding the Fourth Proportional to 6,967.60, 9,605.50 and 5,901.10

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Solution

The fourth proportional to 6,967.60, 9,605.50 and 5,901.10 is: 8,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.60 : 9,605.50 = 5,901.10 : x
  2. Step 2: Convert to fraction form
    6,967.60/9,605.50 = 5,901.10/x
  3. Step 3: Cross multiply
    6,967.60x = 9,605.50 × 5,901.10
  4. Step 4: Simplify right side
    6,967.60x = 56,683,016.05
  5. Step 5: Solve for x
    x = 56,683,016.05/6,967.60
  6. Step 6: Final answer
    x = 8,135.23

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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.