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Finding the Fourth Proportional to 7,547.94, 11,321.24 and 2,867.94

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Solution

The fourth proportional to 7,547.94, 11,321.24 and 2,867.94 is: 4,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.94 : 11,321.24 = 2,867.94 : x
  2. Step 2: Convert to fraction form
    7,547.94/11,321.24 = 2,867.94/x
  3. Step 3: Cross multiply
    7,547.94x = 11,321.24 × 2,867.94
  4. Step 4: Simplify right side
    7,547.94x = 32,468,622.71
  5. Step 5: Solve for x
    x = 32,468,622.71/7,547.94
  6. Step 6: Final answer
    x = 4,301.65

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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.