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Finding the Fourth Proportional to 9,608.61, 13,260.29 and 5,629.17

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Solution

The fourth proportional to 9,608.61, 13,260.29 and 5,629.17 is: 7,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.61 : 13,260.29 = 5,629.17 : x
  2. Step 2: Convert to fraction form
    9,608.61/13,260.29 = 5,629.17/x
  3. Step 3: Cross multiply
    9,608.61x = 13,260.29 × 5,629.17
  4. Step 4: Simplify right side
    9,608.61x = 74,644,398.51
  5. Step 5: Solve for x
    x = 74,644,398.51/9,608.61
  6. Step 6: Final answer
    x = 7,768.49

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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.