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Finding the Fourth Proportional to 12,563.60, 18,820.85 and 7,000.16

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Solution

The fourth proportional to 12,563.60, 18,820.85 and 7,000.16 is: 10,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.60 : 18,820.85 = 7,000.16 : x
  2. Step 2: Convert to fraction form
    12,563.60/18,820.85 = 7,000.16/x
  3. Step 3: Cross multiply
    12,563.60x = 18,820.85 × 7,000.16
  4. Step 4: Simplify right side
    12,563.60x = 131,748,832.23
  5. Step 5: Solve for x
    x = 131,748,832.23/12,563.60
  6. Step 6: Final answer
    x = 10,486.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.