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Finding the Fourth Proportional to 9,323.80, 13,956.54 and 6,970.12

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Solution

The fourth proportional to 9,323.80, 13,956.54 and 6,970.12 is: 10,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.80 : 13,956.54 = 6,970.12 : x
  2. Step 2: Convert to fraction form
    9,323.80/13,956.54 = 6,970.12/x
  3. Step 3: Cross multiply
    9,323.80x = 13,956.54 × 6,970.12
  4. Step 4: Simplify right side
    9,323.80x = 97,278,758.58
  5. Step 5: Solve for x
    x = 97,278,758.58/9,323.80
  6. Step 6: Final answer
    x = 10,433.38

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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.