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Finding the Fourth Proportional to 9,800.74, 13,524.95 and 5,324.53

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Solution

The fourth proportional to 9,800.74, 13,524.95 and 5,324.53 is: 7,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.74 : 13,524.95 = 5,324.53 : x
  2. Step 2: Convert to fraction form
    9,800.74/13,524.95 = 5,324.53/x
  3. Step 3: Cross multiply
    9,800.74x = 13,524.95 × 5,324.53
  4. Step 4: Simplify right side
    9,800.74x = 72,013,934.40
  5. Step 5: Solve for x
    x = 72,013,934.40/9,800.74
  6. Step 6: Final answer
    x = 7,347.81

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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.