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Finding the Fourth Proportional to 4,294.51, 6,442.47 and 1,520.58

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Solution

The fourth proportional to 4,294.51, 6,442.47 and 1,520.58 is: 2,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.51 : 6,442.47 = 1,520.58 : x
  2. Step 2: Convert to fraction form
    4,294.51/6,442.47 = 1,520.58/x
  3. Step 3: Cross multiply
    4,294.51x = 6,442.47 × 1,520.58
  4. Step 4: Simplify right side
    4,294.51x = 9,796,315.19
  5. Step 5: Solve for x
    x = 9,796,315.19/4,294.51
  6. Step 6: Final answer
    x = 2,281.12

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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.