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Finding the Fourth Proportional to 9,807.69, 14,703.26 and 4,256.85

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Solution

The fourth proportional to 9,807.69, 14,703.26 and 4,256.85 is: 6,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.69 : 14,703.26 = 4,256.85 : x
  2. Step 2: Convert to fraction form
    9,807.69/14,703.26 = 4,256.85/x
  3. Step 3: Cross multiply
    9,807.69x = 14,703.26 × 4,256.85
  4. Step 4: Simplify right side
    9,807.69x = 62,589,572.33
  5. Step 5: Solve for x
    x = 62,589,572.33/9,807.69
  6. Step 6: Final answer
    x = 6,381.68

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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.