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Finding the Fourth Proportional to 10,570.69, 14,587.86 and 6,095.85

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Solution

The fourth proportional to 10,570.69, 14,587.86 and 6,095.85 is: 8,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.69 : 14,587.86 = 6,095.85 : x
  2. Step 2: Convert to fraction form
    10,570.69/14,587.86 = 6,095.85/x
  3. Step 3: Cross multiply
    10,570.69x = 14,587.86 × 6,095.85
  4. Step 4: Simplify right side
    10,570.69x = 88,925,406.38
  5. Step 5: Solve for x
    x = 88,925,406.38/10,570.69
  6. Step 6: Final answer
    x = 8,412.45

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Why These Related Problems?

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