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Finding the Fourth Proportional to 6,478.55, 8,948.46 and 5,848.77

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Solution

The fourth proportional to 6,478.55, 8,948.46 and 5,848.77 is: 8,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.55 : 8,948.46 = 5,848.77 : x
  2. Step 2: Convert to fraction form
    6,478.55/8,948.46 = 5,848.77/x
  3. Step 3: Cross multiply
    6,478.55x = 8,948.46 × 5,848.77
  4. Step 4: Simplify right side
    6,478.55x = 52,337,484.39
  5. Step 5: Solve for x
    x = 52,337,484.39/6,478.55
  6. Step 6: Final answer
    x = 8,078.59

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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.