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Finding the Fourth Proportional to 12,908.57, 19,313.91 and 7,646.40

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Solution

The fourth proportional to 12,908.57, 19,313.91 and 7,646.40 is: 11,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.57 : 19,313.91 = 7,646.40 : x
  2. Step 2: Convert to fraction form
    12,908.57/19,313.91 = 7,646.40/x
  3. Step 3: Cross multiply
    12,908.57x = 19,313.91 × 7,646.40
  4. Step 4: Simplify right side
    12,908.57x = 147,681,881.42
  5. Step 5: Solve for x
    x = 147,681,881.42/12,908.57
  6. Step 6: Final answer
    x = 11,440.61

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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.