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Finding the Fourth Proportional to 9,640.88, 14,461.16 and 3,065.84

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Solution

The fourth proportional to 9,640.88, 14,461.16 and 3,065.84 is: 4,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.88 : 14,461.16 = 3,065.84 : x
  2. Step 2: Convert to fraction form
    9,640.88/14,461.16 = 3,065.84/x
  3. Step 3: Cross multiply
    9,640.88x = 14,461.16 × 3,065.84
  4. Step 4: Simplify right side
    9,640.88x = 44,335,602.77
  5. Step 5: Solve for x
    x = 44,335,602.77/9,640.88
  6. Step 6: Final answer
    x = 4,598.71

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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.