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Finding the Fourth Proportional to 6,461.12, 8,919.84 and 4,368.96

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Solution

The fourth proportional to 6,461.12, 8,919.84 and 4,368.96 is: 6,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.12 : 8,919.84 = 4,368.96 : x
  2. Step 2: Convert to fraction form
    6,461.12/8,919.84 = 4,368.96/x
  3. Step 3: Cross multiply
    6,461.12x = 8,919.84 × 4,368.96
  4. Step 4: Simplify right side
    6,461.12x = 38,970,424.17
  5. Step 5: Solve for x
    x = 38,970,424.17/6,461.12
  6. Step 6: Final answer
    x = 6,031.53

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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.