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Finding the Fourth Proportional to 15,769, 21,763.14 and 9,056.20

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Solution

The fourth proportional to 15,769, 21,763.14 and 9,056.20 is: 12,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769 : 21,763.14 = 9,056.20 : x
  2. Step 2: Convert to fraction form
    15,769/21,763.14 = 9,056.20/x
  3. Step 3: Cross multiply
    15,769x = 21,763.14 × 9,056.20
  4. Step 4: Simplify right side
    15,769x = 197,091,348.47
  5. Step 5: Solve for x
    x = 197,091,348.47/15,769
  6. Step 6: Final answer
    x = 12,498.66

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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.