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Finding the Fourth Proportional to 8,459, 11,666.26 and 5,101.08

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Solution

The fourth proportional to 8,459, 11,666.26 and 5,101.08 is: 7,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459 : 11,666.26 = 5,101.08 : x
  2. Step 2: Convert to fraction form
    8,459/11,666.26 = 5,101.08/x
  3. Step 3: Cross multiply
    8,459x = 11,666.26 × 5,101.08
  4. Step 4: Simplify right side
    8,459x = 59,510,525.56
  5. Step 5: Solve for x
    x = 59,510,525.56/8,459
  6. Step 6: Final answer
    x = 7,035.17

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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.