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Finding the Fourth Proportional to 9,793.34, 13,504.48 and 6,957.76

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Solution

The fourth proportional to 9,793.34, 13,504.48 and 6,957.76 is: 9,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.34 : 13,504.48 = 6,957.76 : x
  2. Step 2: Convert to fraction form
    9,793.34/13,504.48 = 6,957.76/x
  3. Step 3: Cross multiply
    9,793.34x = 13,504.48 × 6,957.76
  4. Step 4: Simplify right side
    9,793.34x = 93,960,828.45
  5. Step 5: Solve for x
    x = 93,960,828.45/9,793.34
  6. Step 6: Final answer
    x = 9,594.36

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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.