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Finding the Fourth Proportional to 8,242.70, 11,373.22 and 4,707.06

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Solution

The fourth proportional to 8,242.70, 11,373.22 and 4,707.06 is: 6,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.70 : 11,373.22 = 4,707.06 : x
  2. Step 2: Convert to fraction form
    8,242.70/11,373.22 = 4,707.06/x
  3. Step 3: Cross multiply
    8,242.70x = 11,373.22 × 4,707.06
  4. Step 4: Simplify right side
    8,242.70x = 53,534,428.93
  5. Step 5: Solve for x
    x = 53,534,428.93/8,242.70
  6. Step 6: Final answer
    x = 6,494.77

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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.