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Finding the Fourth Proportional to 6,775.57, 10,214.13 and 6,323.99

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Solution

The fourth proportional to 6,775.57, 10,214.13 and 6,323.99 is: 9,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.57 : 10,214.13 = 6,323.99 : x
  2. Step 2: Convert to fraction form
    6,775.57/10,214.13 = 6,323.99/x
  3. Step 3: Cross multiply
    6,775.57x = 10,214.13 × 6,323.99
  4. Step 4: Simplify right side
    6,775.57x = 64,594,081.51
  5. Step 5: Solve for x
    x = 64,594,081.51/6,775.57
  6. Step 6: Final answer
    x = 9,533.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.