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Finding the Fourth Proportional to 6,681.63, 10,023.12 and 2,298.51

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Solution

The fourth proportional to 6,681.63, 10,023.12 and 2,298.51 is: 3,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.63 : 10,023.12 = 2,298.51 : x
  2. Step 2: Convert to fraction form
    6,681.63/10,023.12 = 2,298.51/x
  3. Step 3: Cross multiply
    6,681.63x = 10,023.12 × 2,298.51
  4. Step 4: Simplify right side
    6,681.63x = 23,038,241.55
  5. Step 5: Solve for x
    x = 23,038,241.55/6,681.63
  6. Step 6: Final answer
    x = 3,448.00

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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.