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Finding the Fourth Proportional to 4,643.88, 6,960.94 and 1,523.08

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Solution

The fourth proportional to 4,643.88, 6,960.94 and 1,523.08 is: 2,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.88 : 6,960.94 = 1,523.08 : x
  2. Step 2: Convert to fraction form
    4,643.88/6,960.94 = 1,523.08/x
  3. Step 3: Cross multiply
    4,643.88x = 6,960.94 × 1,523.08
  4. Step 4: Simplify right side
    4,643.88x = 10,602,068.50
  5. Step 5: Solve for x
    x = 10,602,068.50/4,643.88
  6. Step 6: Final answer
    x = 2,283.02

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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.