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Finding the Fourth Proportional to 6,354.40, 9,533.40 and 1,972.30

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Solution

The fourth proportional to 6,354.40, 9,533.40 and 1,972.30 is: 2,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.40 : 9,533.40 = 1,972.30 : x
  2. Step 2: Convert to fraction form
    6,354.40/9,533.40 = 1,972.30/x
  3. Step 3: Cross multiply
    6,354.40x = 9,533.40 × 1,972.30
  4. Step 4: Simplify right side
    6,354.40x = 18,802,724.82
  5. Step 5: Solve for x
    x = 18,802,724.82/6,354.40
  6. Step 6: Final answer
    x = 2,959.01

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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.