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Finding the Fourth Proportional to 9,587.66, 14,382.09 and 3,014.09

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Solution

The fourth proportional to 9,587.66, 14,382.09 and 3,014.09 is: 4,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.66 : 14,382.09 = 3,014.09 : x
  2. Step 2: Convert to fraction form
    9,587.66/14,382.09 = 3,014.09/x
  3. Step 3: Cross multiply
    9,587.66x = 14,382.09 × 3,014.09
  4. Step 4: Simplify right side
    9,587.66x = 43,348,913.65
  5. Step 5: Solve for x
    x = 43,348,913.65/9,587.66
  6. Step 6: Final answer
    x = 4,521.32

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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.