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Finding the Fourth Proportional to 9,284.64, 12,815.87 and 8,300.49

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Solution

The fourth proportional to 9,284.64, 12,815.87 and 8,300.49 is: 11,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.64 : 12,815.87 = 8,300.49 : x
  2. Step 2: Convert to fraction form
    9,284.64/12,815.87 = 8,300.49/x
  3. Step 3: Cross multiply
    9,284.64x = 12,815.87 × 8,300.49
  4. Step 4: Simplify right side
    9,284.64x = 106,377,959.27
  5. Step 5: Solve for x
    x = 106,377,959.27/9,284.64
  6. Step 6: Final answer
    x = 11,457.41

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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.