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Finding the Fourth Proportional to 7,960, 10,984.80 and 4,818.64

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Solution

The fourth proportional to 7,960, 10,984.80 and 4,818.64 is: 6,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960 : 10,984.80 = 4,818.64 : x
  2. Step 2: Convert to fraction form
    7,960/10,984.80 = 4,818.64/x
  3. Step 3: Cross multiply
    7,960x = 10,984.80 × 4,818.64
  4. Step 4: Simplify right side
    7,960x = 52,931,796.67
  5. Step 5: Solve for x
    x = 52,931,796.67/7,960
  6. Step 6: Final answer
    x = 6,649.72

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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.