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Finding the Fourth Proportional to 15,770.37, 23,655.03 and 6,407.61

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Solution

The fourth proportional to 15,770.37, 23,655.03 and 6,407.61 is: 9,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.37 : 23,655.03 = 6,407.61 : x
  2. Step 2: Convert to fraction form
    15,770.37/23,655.03 = 6,407.61/x
  3. Step 3: Cross multiply
    15,770.37x = 23,655.03 × 6,407.61
  4. Step 4: Simplify right side
    15,770.37x = 151,572,088.50
  5. Step 5: Solve for x
    x = 151,572,088.50/15,770.37
  6. Step 6: Final answer
    x = 9,611.20

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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.