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Finding the Fourth Proportional to 6,501.66, 8,974.56 and 4,143.34

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Solution

The fourth proportional to 6,501.66, 8,974.56 and 4,143.34 is: 5,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.66 : 8,974.56 = 4,143.34 : x
  2. Step 2: Convert to fraction form
    6,501.66/8,974.56 = 4,143.34/x
  3. Step 3: Cross multiply
    6,501.66x = 8,974.56 × 4,143.34
  4. Step 4: Simplify right side
    6,501.66x = 37,184,653.43
  5. Step 5: Solve for x
    x = 37,184,653.43/6,501.66
  6. Step 6: Final answer
    x = 5,719.26

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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.