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Finding the Fourth Proportional to 9,778.16, 13,496.16 and 5,800.28

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Solution

The fourth proportional to 9,778.16, 13,496.16 and 5,800.28 is: 8,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.16 : 13,496.16 = 5,800.28 : x
  2. Step 2: Convert to fraction form
    9,778.16/13,496.16 = 5,800.28/x
  3. Step 3: Cross multiply
    9,778.16x = 13,496.16 × 5,800.28
  4. Step 4: Simplify right side
    9,778.16x = 78,281,506.92
  5. Step 5: Solve for x
    x = 78,281,506.92/9,778.16
  6. Step 6: Final answer
    x = 8,005.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.