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Finding the Fourth Proportional to 11,438.52, 15,784.83 and 6,402.93

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Solution

The fourth proportional to 11,438.52, 15,784.83 and 6,402.93 is: 8,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.52 : 15,784.83 = 6,402.93 : x
  2. Step 2: Convert to fraction form
    11,438.52/15,784.83 = 6,402.93/x
  3. Step 3: Cross multiply
    11,438.52x = 15,784.83 × 6,402.93
  4. Step 4: Simplify right side
    11,438.52x = 101,069,161.55
  5. Step 5: Solve for x
    x = 101,069,161.55/11,438.52
  6. Step 6: Final answer
    x = 8,835.86

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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.