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Finding the Fourth Proportional to 4,886.76, 7,329.43 and 1,766.32

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Solution

The fourth proportional to 4,886.76, 7,329.43 and 1,766.32 is: 2,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.76 : 7,329.43 = 1,766.32 : x
  2. Step 2: Convert to fraction form
    4,886.76/7,329.43 = 1,766.32/x
  3. Step 3: Cross multiply
    4,886.76x = 7,329.43 × 1,766.32
  4. Step 4: Simplify right side
    4,886.76x = 12,946,118.80
  5. Step 5: Solve for x
    x = 12,946,118.80/4,886.76
  6. Step 6: Final answer
    x = 2,649.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.