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Finding the Fourth Proportional to 7,045.92, 9,722.16 and 3,901.50

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Solution

The fourth proportional to 7,045.92, 9,722.16 and 3,901.50 is: 5,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.92 : 9,722.16 = 3,901.50 : x
  2. Step 2: Convert to fraction form
    7,045.92/9,722.16 = 3,901.50/x
  3. Step 3: Cross multiply
    7,045.92x = 9,722.16 × 3,901.50
  4. Step 4: Simplify right side
    7,045.92x = 37,931,007.24
  5. Step 5: Solve for x
    x = 37,931,007.24/7,045.92
  6. Step 6: Final answer
    x = 5,383.40

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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.