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Finding the Fourth Proportional to 8,470.98, 11,693.97 and 5,643.07

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Solution

The fourth proportional to 8,470.98, 11,693.97 and 5,643.07 is: 7,790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.98 : 11,693.97 = 5,643.07 : x
  2. Step 2: Convert to fraction form
    8,470.98/11,693.97 = 5,643.07/x
  3. Step 3: Cross multiply
    8,470.98x = 11,693.97 × 5,643.07
  4. Step 4: Simplify right side
    8,470.98x = 65,989,862.05
  5. Step 5: Solve for x
    x = 65,989,862.05/8,470.98
  6. Step 6: Final answer
    x = 7,790.11

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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.