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Finding the Fourth Proportional to 9,004, 12,425.52 and 5,865.52

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Solution

The fourth proportional to 9,004, 12,425.52 and 5,865.52 is: 8,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004 : 12,425.52 = 5,865.52 : x
  2. Step 2: Convert to fraction form
    9,004/12,425.52 = 5,865.52/x
  3. Step 3: Cross multiply
    9,004x = 12,425.52 × 5,865.52
  4. Step 4: Simplify right side
    9,004x = 72,882,136.07
  5. Step 5: Solve for x
    x = 72,882,136.07/9,004
  6. Step 6: Final answer
    x = 8,094.42

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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.