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Finding the Fourth Proportional to 6,313.66, 8,710.74 and 4,077.05

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Solution

The fourth proportional to 6,313.66, 8,710.74 and 4,077.05 is: 5,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.66 : 8,710.74 = 4,077.05 : x
  2. Step 2: Convert to fraction form
    6,313.66/8,710.74 = 4,077.05/x
  3. Step 3: Cross multiply
    6,313.66x = 8,710.74 × 4,077.05
  4. Step 4: Simplify right side
    6,313.66x = 35,514,127.96
  5. Step 5: Solve for x
    x = 35,514,127.96/6,313.66
  6. Step 6: Final answer
    x = 5,624.96

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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.