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Finding the Fourth Proportional to 13,009.14, 19,505.93 and 6,332.49

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Solution

The fourth proportional to 13,009.14, 19,505.93 and 6,332.49 is: 9,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.14 : 19,505.93 = 6,332.49 : x
  2. Step 2: Convert to fraction form
    13,009.14/19,505.93 = 6,332.49/x
  3. Step 3: Cross multiply
    13,009.14x = 19,505.93 × 6,332.49
  4. Step 4: Simplify right side
    13,009.14x = 123,521,075.00
  5. Step 5: Solve for x
    x = 123,521,075.00/13,009.14
  6. Step 6: Final answer
    x = 9,494.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.