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Finding the Fourth Proportional to 4,724.65, 7,087.74 and 1,436.98

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Solution

The fourth proportional to 4,724.65, 7,087.74 and 1,436.98 is: 2,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.65 : 7,087.74 = 1,436.98 : x
  2. Step 2: Convert to fraction form
    4,724.65/7,087.74 = 1,436.98/x
  3. Step 3: Cross multiply
    4,724.65x = 7,087.74 × 1,436.98
  4. Step 4: Simplify right side
    4,724.65x = 10,184,905.19
  5. Step 5: Solve for x
    x = 10,184,905.19/4,724.65
  6. Step 6: Final answer
    x = 2,155.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.