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Finding the Fourth Proportional to 7,746.71, 10,692 and 4,917.45

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Solution

The fourth proportional to 7,746.71, 10,692 and 4,917.45 is: 6,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.71 : 10,692 = 4,917.45 : x
  2. Step 2: Convert to fraction form
    7,746.71/10,692 = 4,917.45/x
  3. Step 3: Cross multiply
    7,746.71x = 10,692 × 4,917.45
  4. Step 4: Simplify right side
    7,746.71x = 52,577,375.40
  5. Step 5: Solve for x
    x = 52,577,375.40/7,746.71
  6. Step 6: Final answer
    x = 6,787.06

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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.