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Finding the Fourth Proportional to 7,747.59, 10,693.22 and 4,603.17

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Solution

The fourth proportional to 7,747.59, 10,693.22 and 4,603.17 is: 6,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.59 : 10,693.22 = 4,603.17 : x
  2. Step 2: Convert to fraction form
    7,747.59/10,693.22 = 4,603.17/x
  3. Step 3: Cross multiply
    7,747.59x = 10,693.22 × 4,603.17
  4. Step 4: Simplify right side
    7,747.59x = 49,222,709.51
  5. Step 5: Solve for x
    x = 49,222,709.51/7,747.59
  6. Step 6: Final answer
    x = 6,353.29

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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.