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Finding the Fourth Proportional to 10,334, 15,557.25 and 9,415.46

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Solution

The fourth proportional to 10,334, 15,557.25 and 9,415.46 is: 14,174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334 : 15,557.25 = 9,415.46 : x
  2. Step 2: Convert to fraction form
    10,334/15,557.25 = 9,415.46/x
  3. Step 3: Cross multiply
    10,334x = 15,557.25 × 9,415.46
  4. Step 4: Simplify right side
    10,334x = 146,478,665.09
  5. Step 5: Solve for x
    x = 146,478,665.09/10,334
  6. Step 6: Final answer
    x = 14,174.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.