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Finding the Fourth Proportional to 9,954.24, 13,736.64 and 5,477.76

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Solution

The fourth proportional to 9,954.24, 13,736.64 and 5,477.76 is: 7,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.24 : 13,736.64 = 5,477.76 : x
  2. Step 2: Convert to fraction form
    9,954.24/13,736.64 = 5,477.76/x
  3. Step 3: Cross multiply
    9,954.24x = 13,736.64 × 5,477.76
  4. Step 4: Simplify right side
    9,954.24x = 75,246,017.13
  5. Step 5: Solve for x
    x = 75,246,017.13/9,954.24
  6. Step 6: Final answer
    x = 7,559.19

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Double scale
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Similar ratio
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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.