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Finding the Fourth Proportional to 7,065.57, 9,753.84 and 4,416.87

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Solution

The fourth proportional to 7,065.57, 9,753.84 and 4,416.87 is: 6,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.57 : 9,753.84 = 4,416.87 : x
  2. Step 2: Convert to fraction form
    7,065.57/9,753.84 = 4,416.87/x
  3. Step 3: Cross multiply
    7,065.57x = 9,753.84 × 4,416.87
  4. Step 4: Simplify right side
    7,065.57x = 43,081,443.28
  5. Step 5: Solve for x
    x = 43,081,443.28/7,065.57
  6. Step 6: Final answer
    x = 6,097.38

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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.