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Finding the Fourth Proportional to 17,756.01, 26,630.98 and 6,509.16

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Solution

The fourth proportional to 17,756.01, 26,630.98 and 6,509.16 is: 9,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,756.01 : 26,630.98 = 6,509.16 : x
  2. Step 2: Convert to fraction form
    17,756.01/26,630.98 = 6,509.16/x
  3. Step 3: Cross multiply
    17,756.01x = 26,630.98 × 6,509.16
  4. Step 4: Simplify right side
    17,756.01x = 173,345,293.50
  5. Step 5: Solve for x
    x = 173,345,293.50/17,756.01
  6. Step 6: Final answer
    x = 9,762.63

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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.