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Finding the Fourth Proportional to 7,867.02, 10,856.04 and 4,509.12

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Solution

The fourth proportional to 7,867.02, 10,856.04 and 4,509.12 is: 6,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.02 : 10,856.04 = 4,509.12 : x
  2. Step 2: Convert to fraction form
    7,867.02/10,856.04 = 4,509.12/x
  3. Step 3: Cross multiply
    7,867.02x = 10,856.04 × 4,509.12
  4. Step 4: Simplify right side
    7,867.02x = 48,951,187.08
  5. Step 5: Solve for x
    x = 48,951,187.08/7,867.02
  6. Step 6: Final answer
    x = 6,222.33

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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.