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Finding the Fourth Proportional to 9,870.61, 14,805.67 and 4,599.94

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Solution

The fourth proportional to 9,870.61, 14,805.67 and 4,599.94 is: 6,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.61 : 14,805.67 = 4,599.94 : x
  2. Step 2: Convert to fraction form
    9,870.61/14,805.67 = 4,599.94/x
  3. Step 3: Cross multiply
    9,870.61x = 14,805.67 × 4,599.94
  4. Step 4: Simplify right side
    9,870.61x = 68,105,193.66
  5. Step 5: Solve for x
    x = 68,105,193.66/9,870.61
  6. Step 6: Final answer
    x = 6,899.80

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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.