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Finding the Fourth Proportional to 7,287.50, 10,056.75 and 3,975.50

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Solution

The fourth proportional to 7,287.50, 10,056.75 and 3,975.50 is: 5,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.50 : 10,056.75 = 3,975.50 : x
  2. Step 2: Convert to fraction form
    7,287.50/10,056.75 = 3,975.50/x
  3. Step 3: Cross multiply
    7,287.50x = 10,056.75 × 3,975.50
  4. Step 4: Simplify right side
    7,287.50x = 39,980,609.63
  5. Step 5: Solve for x
    x = 39,980,609.63/7,287.50
  6. Step 6: Final answer
    x = 5,486.19

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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.