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Finding the Fourth Proportional to 9,574.61, 13,211.93 and 5,324.97

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Solution

The fourth proportional to 9,574.61, 13,211.93 and 5,324.97 is: 7,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.61 : 13,211.93 = 5,324.97 : x
  2. Step 2: Convert to fraction form
    9,574.61/13,211.93 = 5,324.97/x
  3. Step 3: Cross multiply
    9,574.61x = 13,211.93 × 5,324.97
  4. Step 4: Simplify right side
    9,574.61x = 70,353,193.75
  5. Step 5: Solve for x
    x = 70,353,193.75/9,574.61
  6. Step 6: Final answer
    x = 7,347.90

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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.