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Finding the Fourth Proportional to 7,657.40, 10,566.94 and 4,678.22

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Solution

The fourth proportional to 7,657.40, 10,566.94 and 4,678.22 is: 6,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.40 : 10,566.94 = 4,678.22 : x
  2. Step 2: Convert to fraction form
    7,657.40/10,566.94 = 4,678.22/x
  3. Step 3: Cross multiply
    7,657.40x = 10,566.94 × 4,678.22
  4. Step 4: Simplify right side
    7,657.40x = 49,434,470.05
  5. Step 5: Solve for x
    x = 49,434,470.05/7,657.40
  6. Step 6: Final answer
    x = 6,455.78

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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.