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Finding the Fourth Proportional to 15,783.61, 21,781.46 and 8,710.49

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Solution

The fourth proportional to 15,783.61, 21,781.46 and 8,710.49 is: 12,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.61 : 21,781.46 = 8,710.49 : x
  2. Step 2: Convert to fraction form
    15,783.61/21,781.46 = 8,710.49/x
  3. Step 3: Cross multiply
    15,783.61x = 21,781.46 × 8,710.49
  4. Step 4: Simplify right side
    15,783.61x = 189,727,094.23
  5. Step 5: Solve for x
    x = 189,727,094.23/15,783.61
  6. Step 6: Final answer
    x = 12,020.51

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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.