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Finding the Fourth Proportional to 9,957.53, 13,736.36 and 6,182.93

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Solution

The fourth proportional to 9,957.53, 13,736.36 and 6,182.93 is: 8,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.53 : 13,736.36 = 6,182.93 : x
  2. Step 2: Convert to fraction form
    9,957.53/13,736.36 = 6,182.93/x
  3. Step 3: Cross multiply
    9,957.53x = 13,736.36 × 6,182.93
  4. Step 4: Simplify right side
    9,957.53x = 84,930,852.74
  5. Step 5: Solve for x
    x = 84,930,852.74/9,957.53
  6. Step 6: Final answer
    x = 8,529.31

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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.