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Finding the Fourth Proportional to 8,306.57, 11,460.29 and 4,721.10

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Solution

The fourth proportional to 8,306.57, 11,460.29 and 4,721.10 is: 6,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.57 : 11,460.29 = 4,721.10 : x
  2. Step 2: Convert to fraction form
    8,306.57/11,460.29 = 4,721.10/x
  3. Step 3: Cross multiply
    8,306.57x = 11,460.29 × 4,721.10
  4. Step 4: Simplify right side
    8,306.57x = 54,105,151.51
  5. Step 5: Solve for x
    x = 54,105,151.51/8,306.57
  6. Step 6: Final answer
    x = 6,513.54

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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.