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Finding the Fourth Proportional to 7,963.01, 11,946.53 and 4,678.86

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Solution

The fourth proportional to 7,963.01, 11,946.53 and 4,678.86 is: 7,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.01 : 11,946.53 = 4,678.86 : x
  2. Step 2: Convert to fraction form
    7,963.01/11,946.53 = 4,678.86/x
  3. Step 3: Cross multiply
    7,963.01x = 11,946.53 × 4,678.86
  4. Step 4: Simplify right side
    7,963.01x = 55,896,153.05
  5. Step 5: Solve for x
    x = 55,896,153.05/7,963.01
  6. Step 6: Final answer
    x = 7,019.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.