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Finding the Fourth Proportional to 6,697.32, 9,243.38 and 6,402.02

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Solution

The fourth proportional to 6,697.32, 9,243.38 and 6,402.02 is: 8,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.32 : 9,243.38 = 6,402.02 : x
  2. Step 2: Convert to fraction form
    6,697.32/9,243.38 = 6,402.02/x
  3. Step 3: Cross multiply
    6,697.32x = 9,243.38 × 6,402.02
  4. Step 4: Simplify right side
    6,697.32x = 59,176,303.63
  5. Step 5: Solve for x
    x = 59,176,303.63/6,697.32
  6. Step 6: Final answer
    x = 8,835.82

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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.