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Finding the Fourth Proportional to 9,650.80, 14,476.30 and 3,406.40

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Solution

The fourth proportional to 9,650.80, 14,476.30 and 3,406.40 is: 5,109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.80 : 14,476.30 = 3,406.40 : x
  2. Step 2: Convert to fraction form
    9,650.80/14,476.30 = 3,406.40/x
  3. Step 3: Cross multiply
    9,650.80x = 14,476.30 × 3,406.40
  4. Step 4: Simplify right side
    9,650.80x = 49,312,068.32
  5. Step 5: Solve for x
    x = 49,312,068.32/9,650.80
  6. Step 6: Final answer
    x = 5,109.64

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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.