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Finding the Fourth Proportional to 13,434.51, 18,539.06 and 7,466.13

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Solution

The fourth proportional to 13,434.51, 18,539.06 and 7,466.13 is: 10,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.51 : 18,539.06 = 7,466.13 : x
  2. Step 2: Convert to fraction form
    13,434.51/18,539.06 = 7,466.13/x
  3. Step 3: Cross multiply
    13,434.51x = 18,539.06 × 7,466.13
  4. Step 4: Simplify right side
    13,434.51x = 138,415,032.04
  5. Step 5: Solve for x
    x = 138,415,032.04/13,434.51
  6. Step 6: Final answer
    x = 10,302.95

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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.