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Finding the Fourth Proportional to 7,065.74, 9,746.42 and 4,675.70

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Solution

The fourth proportional to 7,065.74, 9,746.42 and 4,675.70 is: 6,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.74 : 9,746.42 = 4,675.70 : x
  2. Step 2: Convert to fraction form
    7,065.74/9,746.42 = 4,675.70/x
  3. Step 3: Cross multiply
    7,065.74x = 9,746.42 × 4,675.70
  4. Step 4: Simplify right side
    7,065.74x = 45,571,263.88
  5. Step 5: Solve for x
    x = 45,571,263.88/7,065.74
  6. Step 6: Final answer
    x = 6,449.61

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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.