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Finding the Fourth Proportional to 7,307.86, 10,964.91 and 4,843.54

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Solution

The fourth proportional to 7,307.86, 10,964.91 and 4,843.54 is: 7,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.86 : 10,964.91 = 4,843.54 : x
  2. Step 2: Convert to fraction form
    7,307.86/10,964.91 = 4,843.54/x
  3. Step 3: Cross multiply
    7,307.86x = 10,964.91 × 4,843.54
  4. Step 4: Simplify right side
    7,307.86x = 53,108,980.18
  5. Step 5: Solve for x
    x = 53,108,980.18/7,307.86
  6. Step 6: Final answer
    x = 7,267.38

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1.5x scale

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.