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Finding the Fourth Proportional to 6,501.36, 9,752.06 and 1,571.00

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Solution

The fourth proportional to 6,501.36, 9,752.06 and 1,571.00 is: 2,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.36 : 9,752.06 = 1,571.00 : x
  2. Step 2: Convert to fraction form
    6,501.36/9,752.06 = 1,571.00/x
  3. Step 3: Cross multiply
    6,501.36x = 9,752.06 × 1,571.00
  4. Step 4: Simplify right side
    6,501.36x = 15,320,441.43
  5. Step 5: Solve for x
    x = 15,320,441.43/6,501.36
  6. Step 6: Final answer
    x = 2,356.50

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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.