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Finding the Fourth Proportional to 8,653.23, 11,948.31 and 6,969.24

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Solution

The fourth proportional to 8,653.23, 11,948.31 and 6,969.24 is: 9,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.23 : 11,948.31 = 6,969.24 : x
  2. Step 2: Convert to fraction form
    8,653.23/11,948.31 = 6,969.24/x
  3. Step 3: Cross multiply
    8,653.23x = 11,948.31 × 6,969.24
  4. Step 4: Simplify right side
    8,653.23x = 83,270,639.98
  5. Step 5: Solve for x
    x = 83,270,639.98/8,653.23
  6. Step 6: Final answer
    x = 9,623.07

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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.