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Finding the Fourth Proportional to 9,662.04, 14,487.06 and 4,461.24

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Solution

The fourth proportional to 9,662.04, 14,487.06 and 4,461.24 is: 6,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.04 : 14,487.06 = 4,461.24 : x
  2. Step 2: Convert to fraction form
    9,662.04/14,487.06 = 4,461.24/x
  3. Step 3: Cross multiply
    9,662.04x = 14,487.06 × 4,461.24
  4. Step 4: Simplify right side
    9,662.04x = 64,630,251.55
  5. Step 5: Solve for x
    x = 64,630,251.55/9,662.04
  6. Step 6: Final answer
    x = 6,689.09

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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.