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Finding the Fourth Proportional to 10,582.54, 14,603.97 and 5,866.90

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Solution

The fourth proportional to 10,582.54, 14,603.97 and 5,866.90 is: 8,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.54 : 14,603.97 = 5,866.90 : x
  2. Step 2: Convert to fraction form
    10,582.54/14,603.97 = 5,866.90/x
  3. Step 3: Cross multiply
    10,582.54x = 14,603.97 × 5,866.90
  4. Step 4: Simplify right side
    10,582.54x = 85,680,031.59
  5. Step 5: Solve for x
    x = 85,680,031.59/10,582.54
  6. Step 6: Final answer
    x = 8,096.36

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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.