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Finding the Fourth Proportional to 9,809.00, 13,536.48 and 5,332.84

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Solution

The fourth proportional to 9,809.00, 13,536.48 and 5,332.84 is: 7,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.00 : 13,536.48 = 5,332.84 : x
  2. Step 2: Convert to fraction form
    9,809.00/13,536.48 = 5,332.84/x
  3. Step 3: Cross multiply
    9,809.00x = 13,536.48 × 5,332.84
  4. Step 4: Simplify right side
    9,809.00x = 72,187,868.16
  5. Step 5: Solve for x
    x = 72,187,868.16/9,809.00
  6. Step 6: Final answer
    x = 7,359.35

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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.