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Finding the Fourth Proportional to 4,428.30, 6,646.05 and 4,284.30

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Solution

The fourth proportional to 4,428.30, 6,646.05 and 4,284.30 is: 6,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,428.30 : 6,646.05 = 4,284.30 : x
  2. Step 2: Convert to fraction form
    4,428.30/6,646.05 = 4,284.30/x
  3. Step 3: Cross multiply
    4,428.30x = 6,646.05 × 4,284.30
  4. Step 4: Simplify right side
    4,428.30x = 28,473,672.02
  5. Step 5: Solve for x
    x = 28,473,672.02/4,428.30
  6. Step 6: Final answer
    x = 6,429.93

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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.