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Finding the Fourth Proportional to 8,597.41, 11,836.08 and 7,477.75

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Solution

The fourth proportional to 8,597.41, 11,836.08 and 7,477.75 is: 10,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.41 : 11,836.08 = 7,477.75 : x
  2. Step 2: Convert to fraction form
    8,597.41/11,836.08 = 7,477.75/x
  3. Step 3: Cross multiply
    8,597.41x = 11,836.08 × 7,477.75
  4. Step 4: Simplify right side
    8,597.41x = 88,507,247.22
  5. Step 5: Solve for x
    x = 88,507,247.22/8,597.41
  6. Step 6: Final answer
    x = 10,294.64

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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.