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Finding the Fourth Proportional to 9,685.03, 13,362.74 and 5,493.19

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Solution

The fourth proportional to 9,685.03, 13,362.74 and 5,493.19 is: 7,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.03 : 13,362.74 = 5,493.19 : x
  2. Step 2: Convert to fraction form
    9,685.03/13,362.74 = 5,493.19/x
  3. Step 3: Cross multiply
    9,685.03x = 13,362.74 × 5,493.19
  4. Step 4: Simplify right side
    9,685.03x = 73,404,069.74
  5. Step 5: Solve for x
    x = 73,404,069.74/9,685.03
  6. Step 6: Final answer
    x = 7,579.13

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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.