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Finding the Fourth Proportional to 6,501.43, 9,752.13 and 1,571.05

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Solution

The fourth proportional to 6,501.43, 9,752.13 and 1,571.05 is: 2,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.43 : 9,752.13 = 1,571.05 : x
  2. Step 2: Convert to fraction form
    6,501.43/9,752.13 = 1,571.05/x
  3. Step 3: Cross multiply
    6,501.43x = 9,752.13 × 1,571.05
  4. Step 4: Simplify right side
    6,501.43x = 15,321,083.84
  5. Step 5: Solve for x
    x = 15,321,083.84/6,501.43
  6. Step 6: Final answer
    x = 2,356.57

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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.