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Finding the Fourth Proportional to 7,305.48, 10,013.94 and 7,207.02

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Solution

The fourth proportional to 7,305.48, 10,013.94 and 7,207.02 is: 9,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.48 : 10,013.94 = 7,207.02 : x
  2. Step 2: Convert to fraction form
    7,305.48/10,013.94 = 7,207.02/x
  3. Step 3: Cross multiply
    7,305.48x = 10,013.94 × 7,207.02
  4. Step 4: Simplify right side
    7,305.48x = 72,170,665.86
  5. Step 5: Solve for x
    x = 72,170,665.86/7,305.48
  6. Step 6: Final answer
    x = 9,878.98

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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.