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Finding the Fourth Proportional to 9,771.70, 13,491.06 and 7,529.32

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Solution

The fourth proportional to 9,771.70, 13,491.06 and 7,529.32 is: 10,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.70 : 13,491.06 = 7,529.32 : x
  2. Step 2: Convert to fraction form
    9,771.70/13,491.06 = 7,529.32/x
  3. Step 3: Cross multiply
    9,771.70x = 13,491.06 × 7,529.32
  4. Step 4: Simplify right side
    9,771.70x = 101,578,507.88
  5. Step 5: Solve for x
    x = 101,578,507.88/9,771.70
  6. Step 6: Final answer
    x = 10,395.17

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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.