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Finding the Fourth Proportional to 7,129.44, 9,838.64 and 3,985.76

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Solution

The fourth proportional to 7,129.44, 9,838.64 and 3,985.76 is: 5,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.44 : 9,838.64 = 3,985.76 : x
  2. Step 2: Convert to fraction form
    7,129.44/9,838.64 = 3,985.76/x
  3. Step 3: Cross multiply
    7,129.44x = 9,838.64 × 3,985.76
  4. Step 4: Simplify right side
    7,129.44x = 39,214,457.77
  5. Step 5: Solve for x
    x = 39,214,457.77/7,129.44
  6. Step 6: Final answer
    x = 5,500.36

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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.