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Finding the Fourth Proportional to 9,802.08, 14,689.08 and 7,600.50

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Solution

The fourth proportional to 9,802.08, 14,689.08 and 7,600.50 is: 11,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.08 : 14,689.08 = 7,600.50 : x
  2. Step 2: Convert to fraction form
    9,802.08/14,689.08 = 7,600.50/x
  3. Step 3: Cross multiply
    9,802.08x = 14,689.08 × 7,600.50
  4. Step 4: Simplify right side
    9,802.08x = 111,644,352.54
  5. Step 5: Solve for x
    x = 111,644,352.54/9,802.08
  6. Step 6: Final answer
    x = 11,389.86

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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.