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Finding the Fourth Proportional to 9,738, 13,440.54 and 6,200.40

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Solution

The fourth proportional to 9,738, 13,440.54 and 6,200.40 is: 8,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738 : 13,440.54 = 6,200.40 : x
  2. Step 2: Convert to fraction form
    9,738/13,440.54 = 6,200.40/x
  3. Step 3: Cross multiply
    9,738x = 13,440.54 × 6,200.40
  4. Step 4: Simplify right side
    9,738x = 83,336,724.22
  5. Step 5: Solve for x
    x = 83,336,724.22/9,738
  6. Step 6: Final answer
    x = 8,557.89

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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.