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Finding the Fourth Proportional to 6,164.55, 9,246.75 and 1,547.55

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Solution

The fourth proportional to 6,164.55, 9,246.75 and 1,547.55 is: 2,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.55 : 9,246.75 = 1,547.55 : x
  2. Step 2: Convert to fraction form
    6,164.55/9,246.75 = 1,547.55/x
  3. Step 3: Cross multiply
    6,164.55x = 9,246.75 × 1,547.55
  4. Step 4: Simplify right side
    6,164.55x = 14,309,807.96
  5. Step 5: Solve for x
    x = 14,309,807.96/6,164.55
  6. Step 6: Final answer
    x = 2,321.31

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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.