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Finding the Fourth Proportional to 7,771.58, 10,721.10 and 5,254.56

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Solution

The fourth proportional to 7,771.58, 10,721.10 and 5,254.56 is: 7,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.58 : 10,721.10 = 5,254.56 : x
  2. Step 2: Convert to fraction form
    7,771.58/10,721.10 = 5,254.56/x
  3. Step 3: Cross multiply
    7,771.58x = 10,721.10 × 5,254.56
  4. Step 4: Simplify right side
    7,771.58x = 56,334,663.22
  5. Step 5: Solve for x
    x = 56,334,663.22/7,771.58
  6. Step 6: Final answer
    x = 7,248.80

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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.