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Finding the Fourth Proportional to 15,737, 23,605.46 and 4,643.67

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Solution

The fourth proportional to 15,737, 23,605.46 and 4,643.67 is: 6,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737 : 23,605.46 = 4,643.67 : x
  2. Step 2: Convert to fraction form
    15,737/23,605.46 = 4,643.67/x
  3. Step 3: Cross multiply
    15,737x = 23,605.46 × 4,643.67
  4. Step 4: Simplify right side
    15,737x = 109,615,966.44
  5. Step 5: Solve for x
    x = 109,615,966.44/15,737
  6. Step 6: Final answer
    x = 6,965.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.