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Finding the Fourth Proportional to 24,713.70, 37,076.01 and 7,182.06

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Solution

The fourth proportional to 24,713.70, 37,076.01 and 7,182.06 is: 10,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.70 : 37,076.01 = 7,182.06 : x
  2. Step 2: Convert to fraction form
    24,713.70/37,076.01 = 7,182.06/x
  3. Step 3: Cross multiply
    24,713.70x = 37,076.01 × 7,182.06
  4. Step 4: Simplify right side
    24,713.70x = 266,281,943.00
  5. Step 5: Solve for x
    x = 266,281,943.00/24,713.70
  6. Step 6: Final answer
    x = 10,774.67

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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.