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Finding the Fourth Proportional to 34,000.41, 51,000.54 and 9,040.46

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Solution

The fourth proportional to 34,000.41, 51,000.54 and 9,040.46 is: 13,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,000.41 : 51,000.54 = 9,040.46 : x
  2. Step 2: Convert to fraction form
    34,000.41/51,000.54 = 9,040.46/x
  3. Step 3: Cross multiply
    34,000.41x = 51,000.54 × 9,040.46
  4. Step 4: Simplify right side
    34,000.41x = 461,068,214.35
  5. Step 5: Solve for x
    x = 461,068,214.35/34,000.41
  6. Step 6: Final answer
    x = 13,560.67

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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.