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Finding the Fourth Proportional to 6,561.84, 9,025.92 and 5,295

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Solution

The fourth proportional to 6,561.84, 9,025.92 and 5,295 is: 7,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.84 : 9,025.92 = 5,295 : x
  2. Step 2: Convert to fraction form
    6,561.84/9,025.92 = 5,295/x
  3. Step 3: Cross multiply
    6,561.84x = 9,025.92 × 5,295
  4. Step 4: Simplify right side
    6,561.84x = 47,792,246.40
  5. Step 5: Solve for x
    x = 47,792,246.40/6,561.84
  6. Step 6: Final answer
    x = 7,283.36

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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.