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Finding the Fourth Proportional to 7,258.14, 10,016.22 and 3,946.14

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Solution

The fourth proportional to 7,258.14, 10,016.22 and 3,946.14 is: 5,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.14 : 10,016.22 = 3,946.14 : x
  2. Step 2: Convert to fraction form
    7,258.14/10,016.22 = 3,946.14/x
  3. Step 3: Cross multiply
    7,258.14x = 10,016.22 × 3,946.14
  4. Step 4: Simplify right side
    7,258.14x = 39,525,406.39
  5. Step 5: Solve for x
    x = 39,525,406.39/7,258.14
  6. Step 6: Final answer
    x = 5,445.67

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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.