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Finding the Fourth Proportional to 6,501.57, 9,754.25 and 2,341.50

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Solution

The fourth proportional to 6,501.57, 9,754.25 and 2,341.50 is: 3,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.57 : 9,754.25 = 2,341.50 : x
  2. Step 2: Convert to fraction form
    6,501.57/9,754.25 = 2,341.50/x
  3. Step 3: Cross multiply
    6,501.57x = 9,754.25 × 2,341.50
  4. Step 4: Simplify right side
    6,501.57x = 22,839,564.67
  5. Step 5: Solve for x
    x = 22,839,564.67/6,501.57
  6. Step 6: Final answer
    x = 3,512.93

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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.