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Finding the Fourth Proportional to 9,662.49, 13,323.69 and 7,011.36

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Solution

The fourth proportional to 9,662.49, 13,323.69 and 7,011.36 is: 9,668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.49 : 13,323.69 = 7,011.36 : x
  2. Step 2: Convert to fraction form
    9,662.49/13,323.69 = 7,011.36/x
  3. Step 3: Cross multiply
    9,662.49x = 13,323.69 × 7,011.36
  4. Step 4: Simplify right side
    9,662.49x = 93,417,187.12
  5. Step 5: Solve for x
    x = 93,417,187.12/9,662.49
  6. Step 6: Final answer
    x = 9,668.02

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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.