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Finding the Fourth Proportional to 6,974.46, 9,628.98 and 4,588.20

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Solution

The fourth proportional to 6,974.46, 9,628.98 and 4,588.20 is: 6,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.46 : 9,628.98 = 4,588.20 : x
  2. Step 2: Convert to fraction form
    6,974.46/9,628.98 = 4,588.20/x
  3. Step 3: Cross multiply
    6,974.46x = 9,628.98 × 4,588.20
  4. Step 4: Simplify right side
    6,974.46x = 44,179,686.04
  5. Step 5: Solve for x
    x = 44,179,686.04/6,974.46
  6. Step 6: Final answer
    x = 6,334.50

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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.