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Finding the Fourth Proportional to 12,701.05, 17,526.11 and 7,035.64

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Solution

The fourth proportional to 12,701.05, 17,526.11 and 7,035.64 is: 9,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.05 : 17,526.11 = 7,035.64 : x
  2. Step 2: Convert to fraction form
    12,701.05/17,526.11 = 7,035.64/x
  3. Step 3: Cross multiply
    12,701.05x = 17,526.11 × 7,035.64
  4. Step 4: Simplify right side
    12,701.05x = 123,307,365.38
  5. Step 5: Solve for x
    x = 123,307,365.38/12,701.05
  6. Step 6: Final answer
    x = 9,708.44

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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.