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Finding the Fourth Proportional to 7,476.12, 10,242.34 and 7,195.86

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Solution

The fourth proportional to 7,476.12, 10,242.34 and 7,195.86 is: 9,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.12 : 10,242.34 = 7,195.86 : x
  2. Step 2: Convert to fraction form
    7,476.12/10,242.34 = 7,195.86/x
  3. Step 3: Cross multiply
    7,476.12x = 10,242.34 × 7,195.86
  4. Step 4: Simplify right side
    7,476.12x = 73,702,444.71
  5. Step 5: Solve for x
    x = 73,702,444.71/7,476.12
  6. Step 6: Final answer
    x = 9,858.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.