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Finding the Fourth Proportional to 9,883.14, 14,802 and 6,409.86

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Solution

The fourth proportional to 9,883.14, 14,802 and 6,409.86 is: 9,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.14 : 14,802 = 6,409.86 : x
  2. Step 2: Convert to fraction form
    9,883.14/14,802 = 6,409.86/x
  3. Step 3: Cross multiply
    9,883.14x = 14,802 × 6,409.86
  4. Step 4: Simplify right side
    9,883.14x = 94,878,747.72
  5. Step 5: Solve for x
    x = 94,878,747.72/9,883.14
  6. Step 6: Final answer
    x = 9,600.06

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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.