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Finding the Fourth Proportional to 15,355.48, 23,045.76 and 7,962.16

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Solution

The fourth proportional to 15,355.48, 23,045.76 and 7,962.16 is: 11,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,355.48 : 23,045.76 = 7,962.16 : x
  2. Step 2: Convert to fraction form
    15,355.48/23,045.76 = 7,962.16/x
  3. Step 3: Cross multiply
    15,355.48x = 23,045.76 × 7,962.16
  4. Step 4: Simplify right side
    15,355.48x = 183,494,028.44
  5. Step 5: Solve for x
    x = 183,494,028.44/15,355.48
  6. Step 6: Final answer
    x = 11,949.74

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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.