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Finding the Fourth Proportional to 6,733.64, 9,293.64 and 5,612.78

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Solution

The fourth proportional to 6,733.64, 9,293.64 and 5,612.78 is: 7,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.64 : 9,293.64 = 5,612.78 : x
  2. Step 2: Convert to fraction form
    6,733.64/9,293.64 = 5,612.78/x
  3. Step 3: Cross multiply
    6,733.64x = 9,293.64 × 5,612.78
  4. Step 4: Simplify right side
    6,733.64x = 52,163,156.72
  5. Step 5: Solve for x
    x = 52,163,156.72/6,733.64
  6. Step 6: Final answer
    x = 7,746.65

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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.