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Finding the Fourth Proportional to 15,706.24, 23,549.76 and 7,388.08

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Solution

The fourth proportional to 15,706.24, 23,549.76 and 7,388.08 is: 11,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.24 : 23,549.76 = 7,388.08 : x
  2. Step 2: Convert to fraction form
    15,706.24/23,549.76 = 7,388.08/x
  3. Step 3: Cross multiply
    15,706.24x = 23,549.76 × 7,388.08
  4. Step 4: Simplify right side
    15,706.24x = 173,987,510.86
  5. Step 5: Solve for x
    x = 173,987,510.86/15,706.24
  6. Step 6: Final answer
    x = 11,077.60

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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.