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Finding the Fourth Proportional to 10,462.76, 15,680.79 and 4,903.84

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Solution

The fourth proportional to 10,462.76, 15,680.79 and 4,903.84 is: 7,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.76 : 15,680.79 = 4,903.84 : x
  2. Step 2: Convert to fraction form
    10,462.76/15,680.79 = 4,903.84/x
  3. Step 3: Cross multiply
    10,462.76x = 15,680.79 × 4,903.84
  4. Step 4: Simplify right side
    10,462.76x = 76,896,085.23
  5. Step 5: Solve for x
    x = 76,896,085.23/10,462.76
  6. Step 6: Final answer
    x = 7,349.50

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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.