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Finding the Fourth Proportional to 9,689.75, 13,364.53 and 8,347.63

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Solution

The fourth proportional to 9,689.75, 13,364.53 and 8,347.63 is: 11,513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.75 : 13,364.53 = 8,347.63 : x
  2. Step 2: Convert to fraction form
    9,689.75/13,364.53 = 8,347.63/x
  3. Step 3: Cross multiply
    9,689.75x = 13,364.53 × 8,347.63
  4. Step 4: Simplify right side
    9,689.75x = 111,562,043.00
  5. Step 5: Solve for x
    x = 111,562,043.00/9,689.75
  6. Step 6: Final answer
    x = 11,513.41

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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.