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Finding the Fourth Proportional to 13,998, 19,317.24 and 7,710.51

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Solution

The fourth proportional to 13,998, 19,317.24 and 7,710.51 is: 10,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998 : 19,317.24 = 7,710.51 : x
  2. Step 2: Convert to fraction form
    13,998/19,317.24 = 7,710.51/x
  3. Step 3: Cross multiply
    13,998x = 19,317.24 × 7,710.51
  4. Step 4: Simplify right side
    13,998x = 148,945,772.19
  5. Step 5: Solve for x
    x = 148,945,772.19/13,998
  6. Step 6: Final answer
    x = 10,640.50

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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.