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Finding the Fourth Proportional to 9,614.95, 13,269.56 and 5,837.24

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Solution

The fourth proportional to 9,614.95, 13,269.56 and 5,837.24 is: 8,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.95 : 13,269.56 = 5,837.24 : x
  2. Step 2: Convert to fraction form
    9,614.95/13,269.56 = 5,837.24/x
  3. Step 3: Cross multiply
    9,614.95x = 13,269.56 × 5,837.24
  4. Step 4: Simplify right side
    9,614.95x = 77,457,606.41
  5. Step 5: Solve for x
    x = 77,457,606.41/9,614.95
  6. Step 6: Final answer
    x = 8,055.96

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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.