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Finding the Fourth Proportional to 6,547.50, 9,827.46 and 4,086.99

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Solution

The fourth proportional to 6,547.50, 9,827.46 and 4,086.99 is: 6,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.50 : 9,827.46 = 4,086.99 : x
  2. Step 2: Convert to fraction form
    6,547.50/9,827.46 = 4,086.99/x
  3. Step 3: Cross multiply
    6,547.50x = 9,827.46 × 4,086.99
  4. Step 4: Simplify right side
    6,547.50x = 40,164,730.75
  5. Step 5: Solve for x
    x = 40,164,730.75/6,547.50
  6. Step 6: Final answer
    x = 6,134.36

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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.