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Finding the Fourth Proportional to 9,689.04, 14,539.08 and 8,065.26

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Solution

The fourth proportional to 9,689.04, 14,539.08 and 8,065.26 is: 12,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.04 : 14,539.08 = 8,065.26 : x
  2. Step 2: Convert to fraction form
    9,689.04/14,539.08 = 8,065.26/x
  3. Step 3: Cross multiply
    9,689.04x = 14,539.08 × 8,065.26
  4. Step 4: Simplify right side
    9,689.04x = 117,261,460.36
  5. Step 5: Solve for x
    x = 117,261,460.36/9,689.04
  6. Step 6: Final answer
    x = 12,102.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.