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Finding the Fourth Proportional to 9,957.84, 13,741.02 and 5,766.36

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Solution

The fourth proportional to 9,957.84, 13,741.02 and 5,766.36 is: 7,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.84 : 13,741.02 = 5,766.36 : x
  2. Step 2: Convert to fraction form
    9,957.84/13,741.02 = 5,766.36/x
  3. Step 3: Cross multiply
    9,957.84x = 13,741.02 × 5,766.36
  4. Step 4: Simplify right side
    9,957.84x = 79,235,668.09
  5. Step 5: Solve for x
    x = 79,235,668.09/9,957.84
  6. Step 6: Final answer
    x = 7,957.11

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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.