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Finding the Fourth Proportional to 10,570.97, 14,590.55 and 6,097.40

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Solution

The fourth proportional to 10,570.97, 14,590.55 and 6,097.40 is: 8,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.97 : 14,590.55 = 6,097.40 : x
  2. Step 2: Convert to fraction form
    10,570.97/14,590.55 = 6,097.40/x
  3. Step 3: Cross multiply
    10,570.97x = 14,590.55 × 6,097.40
  4. Step 4: Simplify right side
    10,570.97x = 88,964,471.29
  5. Step 5: Solve for x
    x = 88,964,471.29/10,570.97
  6. Step 6: Final answer
    x = 8,415.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.