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Finding the Fourth Proportional to 10,603.70, 14,632.22 and 5,823.50

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Solution

The fourth proportional to 10,603.70, 14,632.22 and 5,823.50 is: 8,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.70 : 14,632.22 = 5,823.50 : x
  2. Step 2: Convert to fraction form
    10,603.70/14,632.22 = 5,823.50/x
  3. Step 3: Cross multiply
    10,603.70x = 14,632.22 × 5,823.50
  4. Step 4: Simplify right side
    10,603.70x = 85,210,733.17
  5. Step 5: Solve for x
    x = 85,210,733.17/10,603.70
  6. Step 6: Final answer
    x = 8,035.94

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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.