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Finding the Fourth Proportional to 7,738.71, 11,582.34 and 7,046.97

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Solution

The fourth proportional to 7,738.71, 11,582.34 and 7,046.97 is: 10,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.71 : 11,582.34 = 7,046.97 : x
  2. Step 2: Convert to fraction form
    7,738.71/11,582.34 = 7,046.97/x
  3. Step 3: Cross multiply
    7,738.71x = 11,582.34 × 7,046.97
  4. Step 4: Simplify right side
    7,738.71x = 81,620,402.51
  5. Step 5: Solve for x
    x = 81,620,402.51/7,738.71
  6. Step 6: Final answer
    x = 10,547.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.