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Finding the Fourth Proportional to 10,623.67, 14,652.93 and 7,262.98

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Solution

The fourth proportional to 10,623.67, 14,652.93 and 7,262.98 is: 10,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.67 : 14,652.93 = 7,262.98 : x
  2. Step 2: Convert to fraction form
    10,623.67/14,652.93 = 7,262.98/x
  3. Step 3: Cross multiply
    10,623.67x = 14,652.93 × 7,262.98
  4. Step 4: Simplify right side
    10,623.67x = 106,423,928.14
  5. Step 5: Solve for x
    x = 106,423,928.14/10,623.67
  6. Step 6: Final answer
    x = 10,017.63

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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.