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Finding the Fourth Proportional to 6,716.64, 10,007.46 and 6,339.38

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Solution

The fourth proportional to 6,716.64, 10,007.46 and 6,339.38 is: 9,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.64 : 10,007.46 = 6,339.38 : x
  2. Step 2: Convert to fraction form
    6,716.64/10,007.46 = 6,339.38/x
  3. Step 3: Cross multiply
    6,716.64x = 10,007.46 × 6,339.38
  4. Step 4: Simplify right side
    6,716.64x = 63,441,041.74
  5. Step 5: Solve for x
    x = 63,441,041.74/6,716.64
  6. Step 6: Final answer
    x = 9,445.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.