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Finding the Fourth Proportional to 12,175.72, 16,802.54 and 7,459.90

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Solution

The fourth proportional to 12,175.72, 16,802.54 and 7,459.90 is: 10,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.72 : 16,802.54 = 7,459.90 : x
  2. Step 2: Convert to fraction form
    12,175.72/16,802.54 = 7,459.90/x
  3. Step 3: Cross multiply
    12,175.72x = 16,802.54 × 7,459.90
  4. Step 4: Simplify right side
    12,175.72x = 125,345,216.81
  5. Step 5: Solve for x
    x = 125,345,216.81/12,175.72
  6. Step 6: Final answer
    x = 10,294.69

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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.