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Finding the Fourth Proportional to 7,965.66, 10,960.47 and 7,762.14

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Solution

The fourth proportional to 7,965.66, 10,960.47 and 7,762.14 is: 10,680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.66 : 10,960.47 = 7,762.14 : x
  2. Step 2: Convert to fraction form
    7,965.66/10,960.47 = 7,762.14/x
  3. Step 3: Cross multiply
    7,965.66x = 10,960.47 × 7,762.14
  4. Step 4: Simplify right side
    7,965.66x = 85,076,702.61
  5. Step 5: Solve for x
    x = 85,076,702.61/7,965.66
  6. Step 6: Final answer
    x = 10,680.43

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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.