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Finding the Fourth Proportional to 7,428.51, 11,144.82 and 6,038.40

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Solution

The fourth proportional to 7,428.51, 11,144.82 and 6,038.40 is: 9,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.51 : 11,144.82 = 6,038.40 : x
  2. Step 2: Convert to fraction form
    7,428.51/11,144.82 = 6,038.40/x
  3. Step 3: Cross multiply
    7,428.51x = 11,144.82 × 6,038.40
  4. Step 4: Simplify right side
    7,428.51x = 67,296,881.09
  5. Step 5: Solve for x
    x = 67,296,881.09/7,428.51
  6. Step 6: Final answer
    x = 9,059.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.