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Finding the Fourth Proportional to 15,415.65, 21,273.65 and 8,342.07

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Solution

The fourth proportional to 15,415.65, 21,273.65 and 8,342.07 is: 11,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.65 : 21,273.65 = 8,342.07 : x
  2. Step 2: Convert to fraction form
    15,415.65/21,273.65 = 8,342.07/x
  3. Step 3: Cross multiply
    15,415.65x = 21,273.65 × 8,342.07
  4. Step 4: Simplify right side
    15,415.65x = 177,466,277.46
  5. Step 5: Solve for x
    x = 177,466,277.46/15,415.65
  6. Step 6: Final answer
    x = 11,512.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.