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Finding the Fourth Proportional to 6,164.84, 9,247.26 and 1,547.88

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Solution

The fourth proportional to 6,164.84, 9,247.26 and 1,547.88 is: 2,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.84 : 9,247.26 = 1,547.88 : x
  2. Step 2: Convert to fraction form
    6,164.84/9,247.26 = 1,547.88/x
  3. Step 3: Cross multiply
    6,164.84x = 9,247.26 × 1,547.88
  4. Step 4: Simplify right side
    6,164.84x = 14,313,648.81
  5. Step 5: Solve for x
    x = 14,313,648.81/6,164.84
  6. Step 6: Final answer
    x = 2,321.82

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Similar ratio
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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.