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Finding the Fourth Proportional to 7,746, 10,717.64 and 6,753.35

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Solution

The fourth proportional to 7,746, 10,717.64 and 6,753.35 is: 9,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746 : 10,717.64 = 6,753.35 : x
  2. Step 2: Convert to fraction form
    7,746/10,717.64 = 6,753.35/x
  3. Step 3: Cross multiply
    7,746x = 10,717.64 × 6,753.35
  4. Step 4: Simplify right side
    7,746x = 72,379,886.74
  5. Step 5: Solve for x
    x = 72,379,886.74/7,746
  6. Step 6: Final answer
    x = 9,344.16

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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.