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Finding the Fourth Proportional to 9,894.96, 13,645.56 and 6,534.96

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Solution

The fourth proportional to 9,894.96, 13,645.56 and 6,534.96 is: 9,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.96 : 13,645.56 = 6,534.96 : x
  2. Step 2: Convert to fraction form
    9,894.96/13,645.56 = 6,534.96/x
  3. Step 3: Cross multiply
    9,894.96x = 13,645.56 × 6,534.96
  4. Step 4: Simplify right side
    9,894.96x = 89,173,188.78
  5. Step 5: Solve for x
    x = 89,173,188.78/9,894.96
  6. Step 6: Final answer
    x = 9,011.98

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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.