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Finding the Fourth Proportional to 9,674.88, 14,483.16 and 6,377.64

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Solution

The fourth proportional to 9,674.88, 14,483.16 and 6,377.64 is: 9,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.88 : 14,483.16 = 6,377.64 : x
  2. Step 2: Convert to fraction form
    9,674.88/14,483.16 = 6,377.64/x
  3. Step 3: Cross multiply
    9,674.88x = 14,483.16 × 6,377.64
  4. Step 4: Simplify right side
    9,674.88x = 92,368,380.54
  5. Step 5: Solve for x
    x = 92,368,380.54/9,674.88
  6. Step 6: Final answer
    x = 9,547.24

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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.