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Finding the Fourth Proportional to 7,049.76, 9,710.64 and 5,929.44

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Solution

The fourth proportional to 7,049.76, 9,710.64 and 5,929.44 is: 8,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.76 : 9,710.64 = 5,929.44 : x
  2. Step 2: Convert to fraction form
    7,049.76/9,710.64 = 5,929.44/x
  3. Step 3: Cross multiply
    7,049.76x = 9,710.64 × 5,929.44
  4. Step 4: Simplify right side
    7,049.76x = 57,578,657.24
  5. Step 5: Solve for x
    x = 57,578,657.24/7,049.76
  6. Step 6: Final answer
    x = 8,167.46

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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.