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Finding the Fourth Proportional to 7,605.84, 10,495.98 and 4,461.42

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Solution

The fourth proportional to 7,605.84, 10,495.98 and 4,461.42 is: 6,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.84 : 10,495.98 = 4,461.42 : x
  2. Step 2: Convert to fraction form
    7,605.84/10,495.98 = 4,461.42/x
  3. Step 3: Cross multiply
    7,605.84x = 10,495.98 × 4,461.42
  4. Step 4: Simplify right side
    7,605.84x = 46,826,975.09
  5. Step 5: Solve for x
    x = 46,826,975.09/7,605.84
  6. Step 6: Final answer
    x = 6,156.71

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1.5x scale

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.