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Finding the Fourth Proportional to 9,807.82, 14,720.02 and 4,265.58

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Solution

The fourth proportional to 9,807.82, 14,720.02 and 4,265.58 is: 6,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.82 : 14,720.02 = 4,265.58 : x
  2. Step 2: Convert to fraction form
    9,807.82/14,720.02 = 4,265.58/x
  3. Step 3: Cross multiply
    9,807.82x = 14,720.02 × 4,265.58
  4. Step 4: Simplify right side
    9,807.82x = 62,789,422.91
  5. Step 5: Solve for x
    x = 62,789,422.91/9,807.82
  6. Step 6: Final answer
    x = 6,401.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.