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Finding the Fourth Proportional to 13,784.70, 19,022.77 and 7,497.08

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Solution

The fourth proportional to 13,784.70, 19,022.77 and 7,497.08 is: 10,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.70 : 19,022.77 = 7,497.08 : x
  2. Step 2: Convert to fraction form
    13,784.70/19,022.77 = 7,497.08/x
  3. Step 3: Cross multiply
    13,784.70x = 19,022.77 × 7,497.08
  4. Step 4: Simplify right side
    13,784.70x = 142,615,228.51
  5. Step 5: Solve for x
    x = 142,615,228.51/13,784.70
  6. Step 6: Final answer
    x = 10,345.91

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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.