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Finding the Fourth Proportional to 6,164.19, 9,246.29 and 1,547.19

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Solution

The fourth proportional to 6,164.19, 9,246.29 and 1,547.19 is: 2,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.19 : 9,246.29 = 1,547.19 : x
  2. Step 2: Convert to fraction form
    6,164.19/9,246.29 = 1,547.19/x
  3. Step 3: Cross multiply
    6,164.19x = 9,246.29 × 1,547.19
  4. Step 4: Simplify right side
    6,164.19x = 14,305,767.43
  5. Step 5: Solve for x
    x = 14,305,767.43/6,164.19
  6. Step 6: Final answer
    x = 2,320.79

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Half scale
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Double scale
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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.