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Finding the Fourth Proportional to 15,783.01, 21,781.79 and 9,070.98

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Solution

The fourth proportional to 15,783.01, 21,781.79 and 9,070.98 is: 12,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.01 : 21,781.79 = 9,070.98 : x
  2. Step 2: Convert to fraction form
    15,783.01/21,781.79 = 9,070.98/x
  3. Step 3: Cross multiply
    15,783.01x = 21,781.79 × 9,070.98
  4. Step 4: Simplify right side
    15,783.01x = 197,582,136.10
  5. Step 5: Solve for x
    x = 197,582,136.10/15,783.01
  6. Step 6: Final answer
    x = 12,518.66

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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.