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Finding the Fourth Proportional to 9,973.14, 13,763.01 and 5,497.05

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Solution

The fourth proportional to 9,973.14, 13,763.01 and 5,497.05 is: 7,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.14 : 13,763.01 = 5,497.05 : x
  2. Step 2: Convert to fraction form
    9,973.14/13,763.01 = 5,497.05/x
  3. Step 3: Cross multiply
    9,973.14x = 13,763.01 × 5,497.05
  4. Step 4: Simplify right side
    9,973.14x = 75,655,954.12
  5. Step 5: Solve for x
    x = 75,655,954.12/9,973.14
  6. Step 6: Final answer
    x = 7,585.97

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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.