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Finding the Fourth Proportional to 7,428, 10,252.24 and 4,444.50

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Solution

The fourth proportional to 7,428, 10,252.24 and 4,444.50 is: 6,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428 : 10,252.24 = 4,444.50 : x
  2. Step 2: Convert to fraction form
    7,428/10,252.24 = 4,444.50/x
  3. Step 3: Cross multiply
    7,428x = 10,252.24 × 4,444.50
  4. Step 4: Simplify right side
    7,428x = 45,566,080.68
  5. Step 5: Solve for x
    x = 45,566,080.68/7,428
  6. Step 6: Final answer
    x = 6,134.37

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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.