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Finding the Fourth Proportional to 10,793.46, 14,894.42 and 6,544.46

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Solution

The fourth proportional to 10,793.46, 14,894.42 and 6,544.46 is: 9,031.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.46 : 14,894.42 = 6,544.46 : x
  2. Step 2: Convert to fraction form
    10,793.46/14,894.42 = 6,544.46/x
  3. Step 3: Cross multiply
    10,793.46x = 14,894.42 × 6,544.46
  4. Step 4: Simplify right side
    10,793.46x = 97,475,935.91
  5. Step 5: Solve for x
    x = 97,475,935.91/10,793.46
  6. Step 6: Final answer
    x = 9,031.02

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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.