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Finding the Fourth Proportional to 10,765.51, 16,156.16 and 7,066.44

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Solution

The fourth proportional to 10,765.51, 16,156.16 and 7,066.44 is: 10,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.51 : 16,156.16 = 7,066.44 : x
  2. Step 2: Convert to fraction form
    10,765.51/16,156.16 = 7,066.44/x
  3. Step 3: Cross multiply
    10,765.51x = 16,156.16 × 7,066.44
  4. Step 4: Simplify right side
    10,765.51x = 114,166,526.44
  5. Step 5: Solve for x
    x = 114,166,526.44/10,765.51
  6. Step 6: Final answer
    x = 10,604.84

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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.