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Finding the Fourth Proportional to 9,719.70, 13,406.07 and 6,357.12

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Solution

The fourth proportional to 9,719.70, 13,406.07 and 6,357.12 is: 8,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.70 : 13,406.07 = 6,357.12 : x
  2. Step 2: Convert to fraction form
    9,719.70/13,406.07 = 6,357.12/x
  3. Step 3: Cross multiply
    9,719.70x = 13,406.07 × 6,357.12
  4. Step 4: Simplify right side
    9,719.70x = 85,223,995.72
  5. Step 5: Solve for x
    x = 85,223,995.72/9,719.70
  6. Step 6: Final answer
    x = 8,768.17

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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.