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Finding the Fourth Proportional to 9,208.40, 13,812.60 and 6,875.60

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Solution

The fourth proportional to 9,208.40, 13,812.60 and 6,875.60 is: 10,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.40 : 13,812.60 = 6,875.60 : x
  2. Step 2: Convert to fraction form
    9,208.40/13,812.60 = 6,875.60/x
  3. Step 3: Cross multiply
    9,208.40x = 13,812.60 × 6,875.60
  4. Step 4: Simplify right side
    9,208.40x = 94,969,912.56
  5. Step 5: Solve for x
    x = 94,969,912.56/9,208.40
  6. Step 6: Final answer
    x = 10,313.40

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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.