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Finding the Fourth Proportional to 10,621.51, 14,658 and 6,146.65

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Solution

The fourth proportional to 10,621.51, 14,658 and 6,146.65 is: 8,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,621.51 : 14,658 = 6,146.65 : x
  2. Step 2: Convert to fraction form
    10,621.51/14,658 = 6,146.65/x
  3. Step 3: Cross multiply
    10,621.51x = 14,658 × 6,146.65
  4. Step 4: Simplify right side
    10,621.51x = 90,097,595.70
  5. Step 5: Solve for x
    x = 90,097,595.70/10,621.51
  6. Step 6: Final answer
    x = 8,482.56

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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.