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Finding the Fourth Proportional to 8,996.48, 12,416 and 5,458.88

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Solution

The fourth proportional to 8,996.48, 12,416 and 5,458.88 is: 7,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.48 : 12,416 = 5,458.88 : x
  2. Step 2: Convert to fraction form
    8,996.48/12,416 = 5,458.88/x
  3. Step 3: Cross multiply
    8,996.48x = 12,416 × 5,458.88
  4. Step 4: Simplify right side
    8,996.48x = 67,777,454.08
  5. Step 5: Solve for x
    x = 67,777,454.08/8,996.48
  6. Step 6: Final answer
    x = 7,533.77

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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.