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Finding the Fourth Proportional to 7,566.93, 10,449 and 7,319.07

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Solution

The fourth proportional to 7,566.93, 10,449 and 7,319.07 is: 10,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.93 : 10,449 = 7,319.07 : x
  2. Step 2: Convert to fraction form
    7,566.93/10,449 = 7,319.07/x
  3. Step 3: Cross multiply
    7,566.93x = 10,449 × 7,319.07
  4. Step 4: Simplify right side
    7,566.93x = 76,476,962.43
  5. Step 5: Solve for x
    x = 76,476,962.43/7,566.93
  6. Step 6: Final answer
    x = 10,106.74

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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.