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Finding the Fourth Proportional to 14,090.49, 19,445.49 and 7,802.87

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Solution

The fourth proportional to 14,090.49, 19,445.49 and 7,802.87 is: 10,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.49 : 19,445.49 = 7,802.87 : x
  2. Step 2: Convert to fraction form
    14,090.49/19,445.49 = 7,802.87/x
  3. Step 3: Cross multiply
    14,090.49x = 19,445.49 × 7,802.87
  4. Step 4: Simplify right side
    14,090.49x = 151,730,533.33
  5. Step 5: Solve for x
    x = 151,730,533.33/14,090.49
  6. Step 6: Final answer
    x = 10,768.29

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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.