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Finding the Fourth Proportional to 6,904.06, 10,356.03 and 4,574.50

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Solution

The fourth proportional to 6,904.06, 10,356.03 and 4,574.50 is: 6,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.06 : 10,356.03 = 4,574.50 : x
  2. Step 2: Convert to fraction form
    6,904.06/10,356.03 = 4,574.50/x
  3. Step 3: Cross multiply
    6,904.06x = 10,356.03 × 4,574.50
  4. Step 4: Simplify right side
    6,904.06x = 47,373,659.24
  5. Step 5: Solve for x
    x = 47,373,659.24/6,904.06
  6. Step 6: Final answer
    x = 6,861.71

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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.