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Finding the Fourth Proportional to 6,941.68, 9,575.28 and 4,952.88

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Solution

The fourth proportional to 6,941.68, 9,575.28 and 4,952.88 is: 6,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.68 : 9,575.28 = 4,952.88 : x
  2. Step 2: Convert to fraction form
    6,941.68/9,575.28 = 4,952.88/x
  3. Step 3: Cross multiply
    6,941.68x = 9,575.28 × 4,952.88
  4. Step 4: Simplify right side
    6,941.68x = 47,425,212.81
  5. Step 5: Solve for x
    x = 47,425,212.81/6,941.68
  6. Step 6: Final answer
    x = 6,831.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.