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Finding the Fourth Proportional to 13,772.14, 19,005.54 and 7,484.51

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Solution

The fourth proportional to 13,772.14, 19,005.54 and 7,484.51 is: 10,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.14 : 19,005.54 = 7,484.51 : x
  2. Step 2: Convert to fraction form
    13,772.14/19,005.54 = 7,484.51/x
  3. Step 3: Cross multiply
    13,772.14x = 19,005.54 × 7,484.51
  4. Step 4: Simplify right side
    13,772.14x = 142,247,154.19
  5. Step 5: Solve for x
    x = 142,247,154.19/13,772.14
  6. Step 6: Final answer
    x = 10,328.62

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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.