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Finding the Fourth Proportional to 11,598.74, 15,999.72 and 7,348.52

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Solution

The fourth proportional to 11,598.74, 15,999.72 and 7,348.52 is: 10,136.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.74 : 15,999.72 = 7,348.52 : x
  2. Step 2: Convert to fraction form
    11,598.74/15,999.72 = 7,348.52/x
  3. Step 3: Cross multiply
    11,598.74x = 15,999.72 × 7,348.52
  4. Step 4: Simplify right side
    11,598.74x = 117,574,262.41
  5. Step 5: Solve for x
    x = 117,574,262.41/11,598.74
  6. Step 6: Final answer
    x = 10,136.81

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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.