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Finding the Fourth Proportional to 9,657.56, 14,481.48 and 4,719.80

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Solution

The fourth proportional to 9,657.56, 14,481.48 and 4,719.80 is: 7,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.56 : 14,481.48 = 4,719.80 : x
  2. Step 2: Convert to fraction form
    9,657.56/14,481.48 = 4,719.80/x
  3. Step 3: Cross multiply
    9,657.56x = 14,481.48 × 4,719.80
  4. Step 4: Simplify right side
    9,657.56x = 68,349,689.30
  5. Step 5: Solve for x
    x = 68,349,689.30/9,657.56
  6. Step 6: Final answer
    x = 7,077.32

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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.