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Finding the Fourth Proportional to 14,090.51, 19,445.14 and 7,717.01

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Solution

The fourth proportional to 14,090.51, 19,445.14 and 7,717.01 is: 10,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.51 : 19,445.14 = 7,717.01 : x
  2. Step 2: Convert to fraction form
    14,090.51/19,445.14 = 7,717.01/x
  3. Step 3: Cross multiply
    14,090.51x = 19,445.14 × 7,717.01
  4. Step 4: Simplify right side
    14,090.51x = 150,058,252.25
  5. Step 5: Solve for x
    x = 150,058,252.25/14,090.51
  6. Step 6: Final answer
    x = 10,649.60

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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.