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Finding the Fourth Proportional to 6,547.69, 9,035.52 and 3,563.52

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Solution

The fourth proportional to 6,547.69, 9,035.52 and 3,563.52 is: 4,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.69 : 9,035.52 = 3,563.52 : x
  2. Step 2: Convert to fraction form
    6,547.69/9,035.52 = 3,563.52/x
  3. Step 3: Cross multiply
    6,547.69x = 9,035.52 × 3,563.52
  4. Step 4: Simplify right side
    6,547.69x = 32,198,208.98
  5. Step 5: Solve for x
    x = 32,198,208.98/6,547.69
  6. Step 6: Final answer
    x = 4,917.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.