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Finding the Fourth Proportional to 7,750.47, 10,695.60 and 4,213.74

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Solution

The fourth proportional to 7,750.47, 10,695.60 and 4,213.74 is: 5,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.47 : 10,695.60 = 4,213.74 : x
  2. Step 2: Convert to fraction form
    7,750.47/10,695.60 = 4,213.74/x
  3. Step 3: Cross multiply
    7,750.47x = 10,695.60 × 4,213.74
  4. Step 4: Simplify right side
    7,750.47x = 45,068,477.54
  5. Step 5: Solve for x
    x = 45,068,477.54/7,750.47
  6. Step 6: Final answer
    x = 5,814.93

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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.