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Finding the Fourth Proportional to 10,603.96, 14,632.98 and 5,888.20

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Solution

The fourth proportional to 10,603.96, 14,632.98 and 5,888.20 is: 8,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.96 : 14,632.98 = 5,888.20 : x
  2. Step 2: Convert to fraction form
    10,603.96/14,632.98 = 5,888.20/x
  3. Step 3: Cross multiply
    10,603.96x = 14,632.98 × 5,888.20
  4. Step 4: Simplify right side
    10,603.96x = 86,161,912.84
  5. Step 5: Solve for x
    x = 86,161,912.84/10,603.96
  6. Step 6: Final answer
    x = 8,125.45

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Similar ratio
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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.