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Finding the Fourth Proportional to 9,252.98, 12,768.97 and 5,666.74

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Solution

The fourth proportional to 9,252.98, 12,768.97 and 5,666.74 is: 7,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.98 : 12,768.97 = 5,666.74 : x
  2. Step 2: Convert to fraction form
    9,252.98/12,768.97 = 5,666.74/x
  3. Step 3: Cross multiply
    9,252.98x = 12,768.97 × 5,666.74
  4. Step 4: Simplify right side
    9,252.98x = 72,358,433.06
  5. Step 5: Solve for x
    x = 72,358,433.06/9,252.98
  6. Step 6: Final answer
    x = 7,820.01

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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.