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Finding the Fourth Proportional to 7,107.98, 9,806.15 and 4,719.11

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Solution

The fourth proportional to 7,107.98, 9,806.15 and 4,719.11 is: 6,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.98 : 9,806.15 = 4,719.11 : x
  2. Step 2: Convert to fraction form
    7,107.98/9,806.15 = 4,719.11/x
  3. Step 3: Cross multiply
    7,107.98x = 9,806.15 × 4,719.11
  4. Step 4: Simplify right side
    7,107.98x = 46,276,276.93
  5. Step 5: Solve for x
    x = 46,276,276.93/7,107.98
  6. Step 6: Final answer
    x = 6,510.47

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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.