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Finding the Fourth Proportional to 16,966.64, 25,466.16 and 10,405.64

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Solution

The fourth proportional to 16,966.64, 25,466.16 and 10,405.64 is: 15,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.64 : 25,466.16 = 10,405.64 : x
  2. Step 2: Convert to fraction form
    16,966.64/25,466.16 = 10,405.64/x
  3. Step 3: Cross multiply
    16,966.64x = 25,466.16 × 10,405.64
  4. Step 4: Simplify right side
    16,966.64x = 264,991,693.14
  5. Step 5: Solve for x
    x = 264,991,693.14/16,966.64
  6. Step 6: Final answer
    x = 15,618.40

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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.