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Finding the Fourth Proportional to 8,742.32, 12,064 and 4,763.29

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Solution

The fourth proportional to 8,742.32, 12,064 and 4,763.29 is: 6,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.32 : 12,064 = 4,763.29 : x
  2. Step 2: Convert to fraction form
    8,742.32/12,064 = 4,763.29/x
  3. Step 3: Cross multiply
    8,742.32x = 12,064 × 4,763.29
  4. Step 4: Simplify right side
    8,742.32x = 57,464,330.56
  5. Step 5: Solve for x
    x = 57,464,330.56/8,742.32
  6. Step 6: Final answer
    x = 6,573.12

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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.