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Finding the Fourth Proportional to 7,473, 10,312.74 and 4,331.01

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Solution

The fourth proportional to 7,473, 10,312.74 and 4,331.01 is: 5,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473 : 10,312.74 = 4,331.01 : x
  2. Step 2: Convert to fraction form
    7,473/10,312.74 = 4,331.01/x
  3. Step 3: Cross multiply
    7,473x = 10,312.74 × 4,331.01
  4. Step 4: Simplify right side
    7,473x = 44,664,580.07
  5. Step 5: Solve for x
    x = 44,664,580.07/7,473
  6. Step 6: Final answer
    x = 5,976.79

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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.