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Finding the Fourth Proportional to 6,030.47, 9,047.54 and 4,064.00

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Solution

The fourth proportional to 6,030.47, 9,047.54 and 4,064.00 is: 6,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,030.47 : 9,047.54 = 4,064.00 : x
  2. Step 2: Convert to fraction form
    6,030.47/9,047.54 = 4,064.00/x
  3. Step 3: Cross multiply
    6,030.47x = 9,047.54 × 4,064.00
  4. Step 4: Simplify right side
    6,030.47x = 36,769,167.48
  5. Step 5: Solve for x
    x = 36,769,167.48/6,030.47
  6. Step 6: Final answer
    x = 6,097.23

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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.