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Finding the Fourth Proportional to 7,966.01, 11,951.04 and 4,681.86

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Solution

The fourth proportional to 7,966.01, 11,951.04 and 4,681.86 is: 7,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.01 : 11,951.04 = 4,681.86 : x
  2. Step 2: Convert to fraction form
    7,966.01/11,951.04 = 4,681.86/x
  3. Step 3: Cross multiply
    7,966.01x = 11,951.04 × 4,681.86
  4. Step 4: Simplify right side
    7,966.01x = 55,953,096.13
  5. Step 5: Solve for x
    x = 55,953,096.13/7,966.01
  6. Step 6: Final answer
    x = 7,023.98

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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.