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Finding the Fourth Proportional to 11,140.34, 15,373 and 6,103.67

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Solution

The fourth proportional to 11,140.34, 15,373 and 6,103.67 is: 8,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.34 : 15,373 = 6,103.67 : x
  2. Step 2: Convert to fraction form
    11,140.34/15,373 = 6,103.67/x
  3. Step 3: Cross multiply
    11,140.34x = 15,373 × 6,103.67
  4. Step 4: Simplify right side
    11,140.34x = 93,831,718.91
  5. Step 5: Solve for x
    x = 93,831,718.91/11,140.34
  6. Step 6: Final answer
    x = 8,422.70

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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.