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Finding the Fourth Proportional to 11,417, 15,766.22 and 10,795.74

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Solution

The fourth proportional to 11,417, 15,766.22 and 10,795.74 is: 14,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417 : 15,766.22 = 10,795.74 : x
  2. Step 2: Convert to fraction form
    11,417/15,766.22 = 10,795.74/x
  3. Step 3: Cross multiply
    11,417x = 15,766.22 × 10,795.74
  4. Step 4: Simplify right side
    11,417x = 170,208,011.90
  5. Step 5: Solve for x
    x = 170,208,011.90/11,417
  6. Step 6: Final answer
    x = 14,908.30

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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.