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Finding the Fourth Proportional to 3,302.71, 4,955.12 and 962.86

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Solution

The fourth proportional to 3,302.71, 4,955.12 and 962.86 is: 1,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.71 : 4,955.12 = 962.86 : x
  2. Step 2: Convert to fraction form
    3,302.71/4,955.12 = 962.86/x
  3. Step 3: Cross multiply
    3,302.71x = 4,955.12 × 962.86
  4. Step 4: Simplify right side
    3,302.71x = 4,771,086.84
  5. Step 5: Solve for x
    x = 4,771,086.84/3,302.71
  6. Step 6: Final answer
    x = 1,444.60

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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.