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Finding the Fourth Proportional to 7,093.16, 9,780.90 and 6,931.88

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Solution

The fourth proportional to 7,093.16, 9,780.90 and 6,931.88 is: 9,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.16 : 9,780.90 = 6,931.88 : x
  2. Step 2: Convert to fraction form
    7,093.16/9,780.90 = 6,931.88/x
  3. Step 3: Cross multiply
    7,093.16x = 9,780.90 × 6,931.88
  4. Step 4: Simplify right side
    7,093.16x = 67,800,025.09
  5. Step 5: Solve for x
    x = 67,800,025.09/7,093.16
  6. Step 6: Final answer
    x = 9,558.51

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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.