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Finding the Fourth Proportional to 10,644.40, 15,966.60 and 5,460.40

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Solution

The fourth proportional to 10,644.40, 15,966.60 and 5,460.40 is: 8,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.40 : 15,966.60 = 5,460.40 : x
  2. Step 2: Convert to fraction form
    10,644.40/15,966.60 = 5,460.40/x
  3. Step 3: Cross multiply
    10,644.40x = 15,966.60 × 5,460.40
  4. Step 4: Simplify right side
    10,644.40x = 87,184,022.64
  5. Step 5: Solve for x
    x = 87,184,022.64/10,644.40
  6. Step 6: Final answer
    x = 8,190.60

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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.