Home / 7,657.86-10,566-4,470.24

Finding the Fourth Proportional to 7,657.86, 10,566 and 4,470.24

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Solution

The fourth proportional to 7,657.86, 10,566 and 4,470.24 is: 6,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.86 : 10,566 = 4,470.24 : x
  2. Step 2: Convert to fraction form
    7,657.86/10,566 = 4,470.24/x
  3. Step 3: Cross multiply
    7,657.86x = 10,566 × 4,470.24
  4. Step 4: Simplify right side
    7,657.86x = 47,232,555.84
  5. Step 5: Solve for x
    x = 47,232,555.84/7,657.86
  6. Step 6: Final answer
    x = 6,167.85

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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.