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Finding the Fourth Proportional to 7,113.74, 9,821.82 and 4,601.93

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Solution

The fourth proportional to 7,113.74, 9,821.82 and 4,601.93 is: 6,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.74 : 9,821.82 = 4,601.93 : x
  2. Step 2: Convert to fraction form
    7,113.74/9,821.82 = 4,601.93/x
  3. Step 3: Cross multiply
    7,113.74x = 9,821.82 × 4,601.93
  4. Step 4: Simplify right side
    7,113.74x = 45,199,328.11
  5. Step 5: Solve for x
    x = 45,199,328.11/7,113.74
  6. Step 6: Final answer
    x = 6,353.81

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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.