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Finding the Fourth Proportional to 11,875.70, 16,387.35 and 6,570.41

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Solution

The fourth proportional to 11,875.70, 16,387.35 and 6,570.41 is: 9,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.70 : 16,387.35 = 6,570.41 : x
  2. Step 2: Convert to fraction form
    11,875.70/16,387.35 = 6,570.41/x
  3. Step 3: Cross multiply
    11,875.70x = 16,387.35 × 6,570.41
  4. Step 4: Simplify right side
    11,875.70x = 107,671,526.38
  5. Step 5: Solve for x
    x = 107,671,526.38/11,875.70
  6. Step 6: Final answer
    x = 9,066.55

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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.