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Finding the Fourth Proportional to 7,281, 10,047.60 and 4,136.76

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Solution

The fourth proportional to 7,281, 10,047.60 and 4,136.76 is: 5,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281 : 10,047.60 = 4,136.76 : x
  2. Step 2: Convert to fraction form
    7,281/10,047.60 = 4,136.76/x
  3. Step 3: Cross multiply
    7,281x = 10,047.60 × 4,136.76
  4. Step 4: Simplify right side
    7,281x = 41,564,509.78
  5. Step 5: Solve for x
    x = 41,564,509.78/7,281
  6. Step 6: Final answer
    x = 5,708.63

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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.