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Finding the Fourth Proportional to 7,045.60, 9,723.12 and 3,901.60

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Solution

The fourth proportional to 7,045.60, 9,723.12 and 3,901.60 is: 5,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.60 : 9,723.12 = 3,901.60 : x
  2. Step 2: Convert to fraction form
    7,045.60/9,723.12 = 3,901.60/x
  3. Step 3: Cross multiply
    7,045.60x = 9,723.12 × 3,901.60
  4. Step 4: Simplify right side
    7,045.60x = 37,935,724.99
  5. Step 5: Solve for x
    x = 37,935,724.99/7,045.60
  6. Step 6: Final answer
    x = 5,384.31

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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.