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Finding the Fourth Proportional to 34,008.50, 51,015.64 and 9,384.50

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Solution

The fourth proportional to 34,008.50, 51,015.64 and 9,384.50 is: 14,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,008.50 : 51,015.64 = 9,384.50 : x
  2. Step 2: Convert to fraction form
    34,008.50/51,015.64 = 9,384.50/x
  3. Step 3: Cross multiply
    34,008.50x = 51,015.64 × 9,384.50
  4. Step 4: Simplify right side
    34,008.50x = 478,756,273.58
  5. Step 5: Solve for x
    x = 478,756,273.58/34,008.50
  6. Step 6: Final answer
    x = 14,077.55

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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.