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Finding the Fourth Proportional to 6,547.36, 9,823.20 and 5,161.36

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Solution

The fourth proportional to 6,547.36, 9,823.20 and 5,161.36 is: 7,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.36 : 9,823.20 = 5,161.36 : x
  2. Step 2: Convert to fraction form
    6,547.36/9,823.20 = 5,161.36/x
  3. Step 3: Cross multiply
    6,547.36x = 9,823.20 × 5,161.36
  4. Step 4: Simplify right side
    6,547.36x = 50,701,071.55
  5. Step 5: Solve for x
    x = 50,701,071.55/6,547.36
  6. Step 6: Final answer
    x = 7,743.74

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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.