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Finding the Fourth Proportional to 9,284.99, 12,813.10 and 5,251.74

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Solution

The fourth proportional to 9,284.99, 12,813.10 and 5,251.74 is: 7,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.99 : 12,813.10 = 5,251.74 : x
  2. Step 2: Convert to fraction form
    9,284.99/12,813.10 = 5,251.74/x
  3. Step 3: Cross multiply
    9,284.99x = 12,813.10 × 5,251.74
  4. Step 4: Simplify right side
    9,284.99x = 67,291,069.79
  5. Step 5: Solve for x
    x = 67,291,069.79/9,284.99
  6. Step 6: Final answer
    x = 7,247.30

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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.