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Finding the Fourth Proportional to 4,653.95, 6,981.26 and 1,732.25

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Solution

The fourth proportional to 4,653.95, 6,981.26 and 1,732.25 is: 2,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.95 : 6,981.26 = 1,732.25 : x
  2. Step 2: Convert to fraction form
    4,653.95/6,981.26 = 1,732.25/x
  3. Step 3: Cross multiply
    4,653.95x = 6,981.26 × 1,732.25
  4. Step 4: Simplify right side
    4,653.95x = 12,093,287.64
  5. Step 5: Solve for x
    x = 12,093,287.64/4,653.95
  6. Step 6: Final answer
    x = 2,598.50

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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.