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Finding the Fourth Proportional to 9,681.97, 14,521.21 and 2,566.25

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Solution

The fourth proportional to 9,681.97, 14,521.21 and 2,566.25 is: 3,848.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.97 : 14,521.21 = 2,566.25 : x
  2. Step 2: Convert to fraction form
    9,681.97/14,521.21 = 2,566.25/x
  3. Step 3: Cross multiply
    9,681.97x = 14,521.21 × 2,566.25
  4. Step 4: Simplify right side
    9,681.97x = 37,265,055.16
  5. Step 5: Solve for x
    x = 37,265,055.16/9,681.97
  6. Step 6: Final answer
    x = 3,848.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.