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Finding the Fourth Proportional to 4,617, 6,924.96 and 1,984.50

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Solution

The fourth proportional to 4,617, 6,924.96 and 1,984.50 is: 2,976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617 : 6,924.96 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    4,617/6,924.96 = 1,984.50/x
  3. Step 3: Cross multiply
    4,617x = 6,924.96 × 1,984.50
  4. Step 4: Simplify right side
    4,617x = 13,742,583.12
  5. Step 5: Solve for x
    x = 13,742,583.12/4,617
  6. Step 6: Final answer
    x = 2,976.52

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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.