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Finding the Fourth Proportional to 12,670.93, 17,477.58 and 7,631.74

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Solution

The fourth proportional to 12,670.93, 17,477.58 and 7,631.74 is: 10,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.93 : 17,477.58 = 7,631.74 : x
  2. Step 2: Convert to fraction form
    12,670.93/17,477.58 = 7,631.74/x
  3. Step 3: Cross multiply
    12,670.93x = 17,477.58 × 7,631.74
  4. Step 4: Simplify right side
    12,670.93x = 133,384,346.39
  5. Step 5: Solve for x
    x = 133,384,346.39/12,670.93
  6. Step 6: Final answer
    x = 10,526.80

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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.