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Finding the Fourth Proportional to 6,341.96, 8,733.86 and 6,206.28

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Solution

The fourth proportional to 6,341.96, 8,733.86 and 6,206.28 is: 8,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.96 : 8,733.86 = 6,206.28 : x
  2. Step 2: Convert to fraction form
    6,341.96/8,733.86 = 6,206.28/x
  3. Step 3: Cross multiply
    6,341.96x = 8,733.86 × 6,206.28
  4. Step 4: Simplify right side
    6,341.96x = 54,204,780.64
  5. Step 5: Solve for x
    x = 54,204,780.64/6,341.96
  6. Step 6: Final answer
    x = 8,547.01

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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.