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Finding the Fourth Proportional to 9,619, 13,275.24 and 5,643.46

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Solution

The fourth proportional to 9,619, 13,275.24 and 5,643.46 is: 7,788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619 : 13,275.24 = 5,643.46 : x
  2. Step 2: Convert to fraction form
    9,619/13,275.24 = 5,643.46/x
  3. Step 3: Cross multiply
    9,619x = 13,275.24 × 5,643.46
  4. Step 4: Simplify right side
    9,619x = 74,918,285.93
  5. Step 5: Solve for x
    x = 74,918,285.93/9,619
  6. Step 6: Final answer
    x = 7,788.57

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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.