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Finding the Fourth Proportional to 5,446.40, 7,358.40 and 5,446.40

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Solution

The fourth proportional to 5,446.40, 7,358.40 and 5,446.40 is: 7,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.40 : 7,358.40 = 5,446.40 : x
  2. Step 2: Convert to fraction form
    5,446.40/7,358.40 = 5,446.40/x
  3. Step 3: Cross multiply
    5,446.40x = 7,358.40 × 5,446.40
  4. Step 4: Simplify right side
    5,446.40x = 40,076,789.76
  5. Step 5: Solve for x
    x = 40,076,789.76/5,446.40
  6. Step 6: Final answer
    x = 7,358.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.