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Finding the Fourth Proportional to 9,719.96, 14,576.37 and 3,478.28

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Solution

The fourth proportional to 9,719.96, 14,576.37 and 3,478.28 is: 5,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.96 : 14,576.37 = 3,478.28 : x
  2. Step 2: Convert to fraction form
    9,719.96/14,576.37 = 3,478.28/x
  3. Step 3: Cross multiply
    9,719.96x = 14,576.37 × 3,478.28
  4. Step 4: Simplify right side
    9,719.96x = 50,700,696.24
  5. Step 5: Solve for x
    x = 50,700,696.24/9,719.96
  6. Step 6: Final answer
    x = 5,216.14

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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.