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Finding the Fourth Proportional to 8,363.36, 11,537.92 and 7,700.16

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Solution

The fourth proportional to 8,363.36, 11,537.92 and 7,700.16 is: 10,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.36 : 11,537.92 = 7,700.16 : x
  2. Step 2: Convert to fraction form
    8,363.36/11,537.92 = 7,700.16/x
  3. Step 3: Cross multiply
    8,363.36x = 11,537.92 × 7,700.16
  4. Step 4: Simplify right side
    8,363.36x = 88,843,830.07
  5. Step 5: Solve for x
    x = 88,843,830.07/8,363.36
  6. Step 6: Final answer
    x = 10,622.98

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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.