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Finding the Fourth Proportional to 9,777.47, 13,493.01 and 5,301.21

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Solution

The fourth proportional to 9,777.47, 13,493.01 and 5,301.21 is: 7,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.47 : 13,493.01 = 5,301.21 : x
  2. Step 2: Convert to fraction form
    9,777.47/13,493.01 = 5,301.21/x
  3. Step 3: Cross multiply
    9,777.47x = 13,493.01 × 5,301.21
  4. Step 4: Simplify right side
    9,777.47x = 71,529,253.04
  5. Step 5: Solve for x
    x = 71,529,253.04/9,777.47
  6. Step 6: Final answer
    x = 7,315.72

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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.