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Finding the Fourth Proportional to 9,853.96, 14,773.12 and 5,689.28

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Solution

The fourth proportional to 9,853.96, 14,773.12 and 5,689.28 is: 8,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.96 : 14,773.12 = 5,689.28 : x
  2. Step 2: Convert to fraction form
    9,853.96/14,773.12 = 5,689.28/x
  3. Step 3: Cross multiply
    9,853.96x = 14,773.12 × 5,689.28
  4. Step 4: Simplify right side
    9,853.96x = 84,048,416.15
  5. Step 5: Solve for x
    x = 84,048,416.15/9,853.96
  6. Step 6: Final answer
    x = 8,529.41

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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.