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Finding the Fourth Proportional to 9,643.52, 13,308 and 5,394.57

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Solution

The fourth proportional to 9,643.52, 13,308 and 5,394.57 is: 7,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.52 : 13,308 = 5,394.57 : x
  2. Step 2: Convert to fraction form
    9,643.52/13,308 = 5,394.57/x
  3. Step 3: Cross multiply
    9,643.52x = 13,308 × 5,394.57
  4. Step 4: Simplify right side
    9,643.52x = 71,790,937.56
  5. Step 5: Solve for x
    x = 71,790,937.56/9,643.52
  6. Step 6: Final answer
    x = 7,444.48

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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.