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Finding the Fourth Proportional to 6,597, 9,894.42 and 4,643.28

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Solution

The fourth proportional to 6,597, 9,894.42 and 4,643.28 is: 6,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597 : 9,894.42 = 4,643.28 : x
  2. Step 2: Convert to fraction form
    6,597/9,894.42 = 4,643.28/x
  3. Step 3: Cross multiply
    6,597x = 9,894.42 × 4,643.28
  4. Step 4: Simplify right side
    6,597x = 45,942,562.50
  5. Step 5: Solve for x
    x = 45,942,562.50/6,597
  6. Step 6: Final answer
    x = 6,964.16

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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.