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Finding the Fourth Proportional to 4,653.96, 6,980.94 and 1,733

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Solution

The fourth proportional to 4,653.96, 6,980.94 and 1,733 is: 2,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.96 : 6,980.94 = 1,733 : x
  2. Step 2: Convert to fraction form
    4,653.96/6,980.94 = 1,733/x
  3. Step 3: Cross multiply
    4,653.96x = 6,980.94 × 1,733
  4. Step 4: Simplify right side
    4,653.96x = 12,097,969.02
  5. Step 5: Solve for x
    x = 12,097,969.02/4,653.96
  6. Step 6: Final answer
    x = 2,599.50

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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.