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Finding the Fourth Proportional to 4,661.40, 6,534.60 and 4,661.40

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Solution

The fourth proportional to 4,661.40, 6,534.60 and 4,661.40 is: 6,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.40 : 6,534.60 = 4,661.40 : x
  2. Step 2: Convert to fraction form
    4,661.40/6,534.60 = 4,661.40/x
  3. Step 3: Cross multiply
    4,661.40x = 6,534.60 × 4,661.40
  4. Step 4: Simplify right side
    4,661.40x = 30,460,384.44
  5. Step 5: Solve for x
    x = 30,460,384.44/4,661.40
  6. Step 6: Final answer
    x = 6,534.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.