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Finding the Fourth Proportional to 15,802.86, 21,807.90 and 9,089.82

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Solution

The fourth proportional to 15,802.86, 21,807.90 and 9,089.82 is: 12,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.86 : 21,807.90 = 9,089.82 : x
  2. Step 2: Convert to fraction form
    15,802.86/21,807.90 = 9,089.82/x
  3. Step 3: Cross multiply
    15,802.86x = 21,807.90 × 9,089.82
  4. Step 4: Simplify right side
    15,802.86x = 198,229,885.58
  5. Step 5: Solve for x
    x = 198,229,885.58/15,802.86
  6. Step 6: Final answer
    x = 12,543.92

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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.