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Finding the Fourth Proportional to 5,454.64, 7,474.95 and 4,929.76

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Solution

The fourth proportional to 5,454.64, 7,474.95 and 4,929.76 is: 6,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.64 : 7,474.95 = 4,929.76 : x
  2. Step 2: Convert to fraction form
    5,454.64/7,474.95 = 4,929.76/x
  3. Step 3: Cross multiply
    5,454.64x = 7,474.95 × 4,929.76
  4. Step 4: Simplify right side
    5,454.64x = 36,849,709.51
  5. Step 5: Solve for x
    x = 36,849,709.51/5,454.64
  6. Step 6: Final answer
    x = 6,755.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.