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Finding the Fourth Proportional to 7,005.94, 9,668.21 and 3,862.33

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Solution

The fourth proportional to 7,005.94, 9,668.21 and 3,862.33 is: 5,330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.94 : 9,668.21 = 3,862.33 : x
  2. Step 2: Convert to fraction form
    7,005.94/9,668.21 = 3,862.33/x
  3. Step 3: Cross multiply
    7,005.94x = 9,668.21 × 3,862.33
  4. Step 4: Simplify right side
    7,005.94x = 37,341,774.05
  5. Step 5: Solve for x
    x = 37,341,774.05/7,005.94
  6. Step 6: Final answer
    x = 5,330.02

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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.