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Finding the Fourth Proportional to 9,357.76, 12,914.94 and 6,523.30

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Solution

The fourth proportional to 9,357.76, 12,914.94 and 6,523.30 is: 9,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.76 : 12,914.94 = 6,523.30 : x
  2. Step 2: Convert to fraction form
    9,357.76/12,914.94 = 6,523.30/x
  3. Step 3: Cross multiply
    9,357.76x = 12,914.94 × 6,523.30
  4. Step 4: Simplify right side
    9,357.76x = 84,248,028.10
  5. Step 5: Solve for x
    x = 84,248,028.10/9,357.76
  6. Step 6: Final answer
    x = 9,003.01

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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.