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Finding the Fourth Proportional to 11,812.56, 17,713.08 and 6,746.16

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Solution

The fourth proportional to 11,812.56, 17,713.08 and 6,746.16 is: 10,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.56 : 17,713.08 = 6,746.16 : x
  2. Step 2: Convert to fraction form
    11,812.56/17,713.08 = 6,746.16/x
  3. Step 3: Cross multiply
    11,812.56x = 17,713.08 × 6,746.16
  4. Step 4: Simplify right side
    11,812.56x = 119,495,271.77
  5. Step 5: Solve for x
    x = 119,495,271.77/11,812.56
  6. Step 6: Final answer
    x = 10,115.95

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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.