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Finding the Fourth Proportional to 6,735.35, 9,303.86 and 6,106.59

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Solution

The fourth proportional to 6,735.35, 9,303.86 and 6,106.59 is: 8,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.35 : 9,303.86 = 6,106.59 : x
  2. Step 2: Convert to fraction form
    6,735.35/9,303.86 = 6,106.59/x
  3. Step 3: Cross multiply
    6,735.35x = 9,303.86 × 6,106.59
  4. Step 4: Simplify right side
    6,735.35x = 56,814,873.70
  5. Step 5: Solve for x
    x = 56,814,873.70/6,735.35
  6. Step 6: Final answer
    x = 8,435.32

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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.