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Finding the Fourth Proportional to 9,642.96, 14,447.93 and 5,263.49

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Solution

The fourth proportional to 9,642.96, 14,447.93 and 5,263.49 is: 7,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.96 : 14,447.93 = 5,263.49 : x
  2. Step 2: Convert to fraction form
    9,642.96/14,447.93 = 5,263.49/x
  3. Step 3: Cross multiply
    9,642.96x = 14,447.93 × 5,263.49
  4. Step 4: Simplify right side
    9,642.96x = 76,046,436.52
  5. Step 5: Solve for x
    x = 76,046,436.52/9,642.96
  6. Step 6: Final answer
    x = 7,886.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.