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Finding the Fourth Proportional to 9,904.53, 13,668.06 and 5,428.20

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Solution

The fourth proportional to 9,904.53, 13,668.06 and 5,428.20 is: 7,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.53 : 13,668.06 = 5,428.20 : x
  2. Step 2: Convert to fraction form
    9,904.53/13,668.06 = 5,428.20/x
  3. Step 3: Cross multiply
    9,904.53x = 13,668.06 × 5,428.20
  4. Step 4: Simplify right side
    9,904.53x = 74,192,963.29
  5. Step 5: Solve for x
    x = 74,192,963.29/9,904.53
  6. Step 6: Final answer
    x = 7,490.81

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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.