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Finding the Fourth Proportional to 6,814.13, 9,403.90 and 4,541.54

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Solution

The fourth proportional to 6,814.13, 9,403.90 and 4,541.54 is: 6,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.13 : 9,403.90 = 4,541.54 : x
  2. Step 2: Convert to fraction form
    6,814.13/9,403.90 = 4,541.54/x
  3. Step 3: Cross multiply
    6,814.13x = 9,403.90 × 4,541.54
  4. Step 4: Simplify right side
    6,814.13x = 42,708,129.63
  5. Step 5: Solve for x
    x = 42,708,129.63/6,814.13
  6. Step 6: Final answer
    x = 6,267.59

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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.