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Finding the Fourth Proportional to 37,145.40, 55,719.17 and 9,443.40

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Solution

The fourth proportional to 37,145.40, 55,719.17 and 9,443.40 is: 14,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,145.40 : 55,719.17 = 9,443.40 : x
  2. Step 2: Convert to fraction form
    37,145.40/55,719.17 = 9,443.40/x
  3. Step 3: Cross multiply
    37,145.40x = 55,719.17 × 9,443.40
  4. Step 4: Simplify right side
    37,145.40x = 526,178,409.98
  5. Step 5: Solve for x
    x = 526,178,409.98/37,145.40
  6. Step 6: Final answer
    x = 14,165.37

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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.