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Finding the Fourth Proportional to 9,654.64, 14,482.21 and 3,080.82

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Solution

The fourth proportional to 9,654.64, 14,482.21 and 3,080.82 is: 4,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.64 : 14,482.21 = 3,080.82 : x
  2. Step 2: Convert to fraction form
    9,654.64/14,482.21 = 3,080.82/x
  3. Step 3: Cross multiply
    9,654.64x = 14,482.21 × 3,080.82
  4. Step 4: Simplify right side
    9,654.64x = 44,617,089.91
  5. Step 5: Solve for x
    x = 44,617,089.91/9,654.64
  6. Step 6: Final answer
    x = 4,621.31

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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.