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Finding the Fourth Proportional to 7,170.66, 9,898.92 and 4,784.67

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Solution

The fourth proportional to 7,170.66, 9,898.92 and 4,784.67 is: 6,605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.66 : 9,898.92 = 4,784.67 : x
  2. Step 2: Convert to fraction form
    7,170.66/9,898.92 = 4,784.67/x
  3. Step 3: Cross multiply
    7,170.66x = 9,898.92 × 4,784.67
  4. Step 4: Simplify right side
    7,170.66x = 47,363,065.56
  5. Step 5: Solve for x
    x = 47,363,065.56/7,170.66
  6. Step 6: Final answer
    x = 6,605.12

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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.