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Finding the Fourth Proportional to 11,925.74, 16,461.16 and 7,446.65

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Solution

The fourth proportional to 11,925.74, 16,461.16 and 7,446.65 is: 10,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.74 : 16,461.16 = 7,446.65 : x
  2. Step 2: Convert to fraction form
    11,925.74/16,461.16 = 7,446.65/x
  3. Step 3: Cross multiply
    11,925.74x = 16,461.16 × 7,446.65
  4. Step 4: Simplify right side
    11,925.74x = 122,580,396.19
  5. Step 5: Solve for x
    x = 122,580,396.19/11,925.74
  6. Step 6: Final answer
    x = 10,278.64

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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.