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Finding the Fourth Proportional to 14,030.01, 19,361.30 and 7,742.25

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Solution

The fourth proportional to 14,030.01, 19,361.30 and 7,742.25 is: 10,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.01 : 19,361.30 = 7,742.25 : x
  2. Step 2: Convert to fraction form
    14,030.01/19,361.30 = 7,742.25/x
  3. Step 3: Cross multiply
    14,030.01x = 19,361.30 × 7,742.25
  4. Step 4: Simplify right side
    14,030.01x = 149,899,986.21
  5. Step 5: Solve for x
    x = 149,899,986.21/14,030.01
  6. Step 6: Final answer
    x = 10,684.24

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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.