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Finding the Fourth Proportional to 7,657.43, 10,566.90 and 4,300.17

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Solution

The fourth proportional to 7,657.43, 10,566.90 and 4,300.17 is: 5,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.43 : 10,566.90 = 4,300.17 : x
  2. Step 2: Convert to fraction form
    7,657.43/10,566.90 = 4,300.17/x
  3. Step 3: Cross multiply
    7,657.43x = 10,566.90 × 4,300.17
  4. Step 4: Simplify right side
    7,657.43x = 45,439,426.75
  5. Step 5: Solve for x
    x = 45,439,426.75/7,657.43
  6. Step 6: Final answer
    x = 5,934.03

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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.