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Finding the Fourth Proportional to 7,710.78, 10,640.27 and 4,353.92

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Solution

The fourth proportional to 7,710.78, 10,640.27 and 4,353.92 is: 6,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.78 : 10,640.27 = 4,353.92 : x
  2. Step 2: Convert to fraction form
    7,710.78/10,640.27 = 4,353.92/x
  3. Step 3: Cross multiply
    7,710.78x = 10,640.27 × 4,353.92
  4. Step 4: Simplify right side
    7,710.78x = 46,326,910.51
  5. Step 5: Solve for x
    x = 46,326,910.51/7,710.78
  6. Step 6: Final answer
    x = 6,008.07

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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.