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Finding the Fourth Proportional to 9,473.63, 13,074.73 and 5,698.73

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Solution

The fourth proportional to 9,473.63, 13,074.73 and 5,698.73 is: 7,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.63 : 13,074.73 = 5,698.73 : x
  2. Step 2: Convert to fraction form
    9,473.63/13,074.73 = 5,698.73/x
  3. Step 3: Cross multiply
    9,473.63x = 13,074.73 × 5,698.73
  4. Step 4: Simplify right side
    9,473.63x = 74,509,374.53
  5. Step 5: Solve for x
    x = 74,509,374.53/9,473.63
  6. Step 6: Final answer
    x = 7,864.93

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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.