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Finding the Fourth Proportional to 11,617.89, 16,032.78 and 6,582.32

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Solution

The fourth proportional to 11,617.89, 16,032.78 and 6,582.32 is: 9,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.89 : 16,032.78 = 6,582.32 : x
  2. Step 2: Convert to fraction form
    11,617.89/16,032.78 = 6,582.32/x
  3. Step 3: Cross multiply
    11,617.89x = 16,032.78 × 6,582.32
  4. Step 4: Simplify right side
    11,617.89x = 105,532,808.29
  5. Step 5: Solve for x
    x = 105,532,808.29/11,617.89
  6. Step 6: Final answer
    x = 9,083.65

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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.