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Finding the Fourth Proportional to 6,970.56, 9,616.14 and 4,451.40

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Solution

The fourth proportional to 6,970.56, 9,616.14 and 4,451.40 is: 6,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.56 : 9,616.14 = 4,451.40 : x
  2. Step 2: Convert to fraction form
    6,970.56/9,616.14 = 4,451.40/x
  3. Step 3: Cross multiply
    6,970.56x = 9,616.14 × 4,451.40
  4. Step 4: Simplify right side
    6,970.56x = 42,805,285.60
  5. Step 5: Solve for x
    x = 42,805,285.60/6,970.56
  6. Step 6: Final answer
    x = 6,140.87

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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.