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Finding the Fourth Proportional to 9,777.13, 13,491.84 and 5,743.36

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Solution

The fourth proportional to 9,777.13, 13,491.84 and 5,743.36 is: 7,925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.13 : 13,491.84 = 5,743.36 : x
  2. Step 2: Convert to fraction form
    9,777.13/13,491.84 = 5,743.36/x
  3. Step 3: Cross multiply
    9,777.13x = 13,491.84 × 5,743.36
  4. Step 4: Simplify right side
    9,777.13x = 77,488,494.18
  5. Step 5: Solve for x
    x = 77,488,494.18/9,777.13
  6. Step 6: Final answer
    x = 7,925.48

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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.