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Finding the Fourth Proportional to 11,466.44, 15,827.08 and 7,488.18

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Solution

The fourth proportional to 11,466.44, 15,827.08 and 7,488.18 is: 10,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.44 : 15,827.08 = 7,488.18 : x
  2. Step 2: Convert to fraction form
    11,466.44/15,827.08 = 7,488.18/x
  3. Step 3: Cross multiply
    11,466.44x = 15,827.08 × 7,488.18
  4. Step 4: Simplify right side
    11,466.44x = 118,516,023.91
  5. Step 5: Solve for x
    x = 118,516,023.91/11,466.44
  6. Step 6: Final answer
    x = 10,335.90

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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.