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Finding the Fourth Proportional to 7,657.61, 10,566.36 and 4,299.93

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Solution

The fourth proportional to 7,657.61, 10,566.36 and 4,299.93 is: 5,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.61 : 10,566.36 = 4,299.93 : x
  2. Step 2: Convert to fraction form
    7,657.61/10,566.36 = 4,299.93/x
  3. Step 3: Cross multiply
    7,657.61x = 10,566.36 × 4,299.93
  4. Step 4: Simplify right side
    7,657.61x = 45,434,608.35
  5. Step 5: Solve for x
    x = 45,434,608.35/7,657.61
  6. Step 6: Final answer
    x = 5,933.27

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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.