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Finding the Fourth Proportional to 6,869.85, 9,477.71 and 4,482.63

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Solution

The fourth proportional to 6,869.85, 9,477.71 and 4,482.63 is: 6,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.85 : 9,477.71 = 4,482.63 : x
  2. Step 2: Convert to fraction form
    6,869.85/9,477.71 = 4,482.63/x
  3. Step 3: Cross multiply
    6,869.85x = 9,477.71 × 4,482.63
  4. Step 4: Simplify right side
    6,869.85x = 42,485,067.18
  5. Step 5: Solve for x
    x = 42,485,067.18/6,869.85
  6. Step 6: Final answer
    x = 6,184.28

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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.