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Finding the Fourth Proportional to 4,059.53, 6,089.30 and 981.53

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Solution

The fourth proportional to 4,059.53, 6,089.30 and 981.53 is: 1,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.53 : 6,089.30 = 981.53 : x
  2. Step 2: Convert to fraction form
    4,059.53/6,089.30 = 981.53/x
  3. Step 3: Cross multiply
    4,059.53x = 6,089.30 × 981.53
  4. Step 4: Simplify right side
    4,059.53x = 5,976,848.31
  5. Step 5: Solve for x
    x = 5,976,848.31/4,059.53
  6. Step 6: Final answer
    x = 1,472.30

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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.