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Finding the Fourth Proportional to 9,641.23, 13,300.62 and 6,283.28

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Solution

The fourth proportional to 9,641.23, 13,300.62 and 6,283.28 is: 8,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.23 : 13,300.62 = 6,283.28 : x
  2. Step 2: Convert to fraction form
    9,641.23/13,300.62 = 6,283.28/x
  3. Step 3: Cross multiply
    9,641.23x = 13,300.62 × 6,283.28
  4. Step 4: Simplify right side
    9,641.23x = 83,571,429.57
  5. Step 5: Solve for x
    x = 83,571,429.57/9,641.23
  6. Step 6: Final answer
    x = 8,668.13

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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.