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Finding the Fourth Proportional to 7,307, 10,960.54 and 1,835

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Solution

The fourth proportional to 7,307, 10,960.54 and 1,835 is: 2,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307 : 10,960.54 = 1,835 : x
  2. Step 2: Convert to fraction form
    7,307/10,960.54 = 1,835/x
  3. Step 3: Cross multiply
    7,307x = 10,960.54 × 1,835
  4. Step 4: Simplify right side
    7,307x = 20,112,590.90
  5. Step 5: Solve for x
    x = 20,112,590.90/7,307
  6. Step 6: Final answer
    x = 2,752.51

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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.