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Finding the Fourth Proportional to 6,130, 9,167.28 and 4,724.24

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Solution

The fourth proportional to 6,130, 9,167.28 and 4,724.24 is: 7,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130 : 9,167.28 = 4,724.24 : x
  2. Step 2: Convert to fraction form
    6,130/9,167.28 = 4,724.24/x
  3. Step 3: Cross multiply
    6,130x = 9,167.28 × 4,724.24
  4. Step 4: Simplify right side
    6,130x = 43,308,430.87
  5. Step 5: Solve for x
    x = 43,308,430.87/6,130
  6. Step 6: Final answer
    x = 7,065.00

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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.