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Finding the Fourth Proportional to 9,641.82, 14,462.46 and 3,068.40

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Solution

The fourth proportional to 9,641.82, 14,462.46 and 3,068.40 is: 4,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.82 : 14,462.46 = 3,068.40 : x
  2. Step 2: Convert to fraction form
    9,641.82/14,462.46 = 3,068.40/x
  3. Step 3: Cross multiply
    9,641.82x = 14,462.46 × 3,068.40
  4. Step 4: Simplify right side
    9,641.82x = 44,376,612.26
  5. Step 5: Solve for x
    x = 44,376,612.26/9,641.82
  6. Step 6: Final answer
    x = 4,602.51

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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.