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Finding the Fourth Proportional to 6,442.23, 8,894.54 and 4,947.46

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Solution

The fourth proportional to 6,442.23, 8,894.54 and 4,947.46 is: 6,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.23 : 8,894.54 = 4,947.46 : x
  2. Step 2: Convert to fraction form
    6,442.23/8,894.54 = 4,947.46/x
  3. Step 3: Cross multiply
    6,442.23x = 8,894.54 × 4,947.46
  4. Step 4: Simplify right side
    6,442.23x = 44,005,356.13
  5. Step 5: Solve for x
    x = 44,005,356.13/6,442.23
  6. Step 6: Final answer
    x = 6,830.77

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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.