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Finding the Fourth Proportional to 6,320.64, 9,491.88 and 5,826.12

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Solution

The fourth proportional to 6,320.64, 9,491.88 and 5,826.12 is: 8,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.64 : 9,491.88 = 5,826.12 : x
  2. Step 2: Convert to fraction form
    6,320.64/9,491.88 = 5,826.12/x
  3. Step 3: Cross multiply
    6,320.64x = 9,491.88 × 5,826.12
  4. Step 4: Simplify right side
    6,320.64x = 55,300,831.91
  5. Step 5: Solve for x
    x = 55,300,831.91/6,320.64
  6. Step 6: Final answer
    x = 8,749.25

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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.