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Finding the Fourth Proportional to 13,802.76, 19,048.14 and 7,835.16

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Solution

The fourth proportional to 13,802.76, 19,048.14 and 7,835.16 is: 10,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.76 : 19,048.14 = 7,835.16 : x
  2. Step 2: Convert to fraction form
    13,802.76/19,048.14 = 7,835.16/x
  3. Step 3: Cross multiply
    13,802.76x = 19,048.14 × 7,835.16
  4. Step 4: Simplify right side
    13,802.76x = 149,245,224.60
  5. Step 5: Solve for x
    x = 149,245,224.60/13,802.76
  6. Step 6: Final answer
    x = 10,812.71

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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.