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Finding the Fourth Proportional to 6,931.29, 9,568.32 and 4,416.85

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Solution

The fourth proportional to 6,931.29, 9,568.32 and 4,416.85 is: 6,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.29 : 9,568.32 = 4,416.85 : x
  2. Step 2: Convert to fraction form
    6,931.29/9,568.32 = 4,416.85/x
  3. Step 3: Cross multiply
    6,931.29x = 9,568.32 × 4,416.85
  4. Step 4: Simplify right side
    6,931.29x = 42,261,810.27
  5. Step 5: Solve for x
    x = 42,261,810.27/6,931.29
  6. Step 6: Final answer
    x = 6,097.25

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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.