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Finding the Fourth Proportional to 9,251.55, 12,767.93 and 5,666.49

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Solution

The fourth proportional to 9,251.55, 12,767.93 and 5,666.49 is: 7,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.55 : 12,767.93 = 5,666.49 : x
  2. Step 2: Convert to fraction form
    9,251.55/12,767.93 = 5,666.49/x
  3. Step 3: Cross multiply
    9,251.55x = 12,767.93 × 5,666.49
  4. Step 4: Simplify right side
    9,251.55x = 72,349,319.33
  5. Step 5: Solve for x
    x = 72,349,319.33/9,251.55
  6. Step 6: Final answer
    x = 7,820.24

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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.