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Finding the Fourth Proportional to 9,863.36, 14,774.78 and 6,565.84

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Solution

The fourth proportional to 9,863.36, 14,774.78 and 6,565.84 is: 9,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.36 : 14,774.78 = 6,565.84 : x
  2. Step 2: Convert to fraction form
    9,863.36/14,774.78 = 6,565.84/x
  3. Step 3: Cross multiply
    9,863.36x = 14,774.78 × 6,565.84
  4. Step 4: Simplify right side
    9,863.36x = 97,008,841.52
  5. Step 5: Solve for x
    x = 97,008,841.52/9,863.36
  6. Step 6: Final answer
    x = 9,835.27

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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.