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Finding the Fourth Proportional to 11,289, 15,575.22 and 7,313.16

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Solution

The fourth proportional to 11,289, 15,575.22 and 7,313.16 is: 10,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289 : 15,575.22 = 7,313.16 : x
  2. Step 2: Convert to fraction form
    11,289/15,575.22 = 7,313.16/x
  3. Step 3: Cross multiply
    11,289x = 15,575.22 × 7,313.16
  4. Step 4: Simplify right side
    11,289x = 113,904,075.90
  5. Step 5: Solve for x
    x = 113,904,075.90/11,289
  6. Step 6: Final answer
    x = 10,089.83

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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.