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Finding the Fourth Proportional to 26,019.79, 39,030 and 6,298.45

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Solution

The fourth proportional to 26,019.79, 39,030 and 6,298.45 is: 9,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019.79 : 39,030 = 6,298.45 : x
  2. Step 2: Convert to fraction form
    26,019.79/39,030 = 6,298.45/x
  3. Step 3: Cross multiply
    26,019.79x = 39,030 × 6,298.45
  4. Step 4: Simplify right side
    26,019.79x = 245,828,503.50
  5. Step 5: Solve for x
    x = 245,828,503.50/26,019.79
  6. Step 6: Final answer
    x = 9,447.75

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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.