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Finding the Fourth Proportional to 9,670.92, 14,510.46 and 4,125.48

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Solution

The fourth proportional to 9,670.92, 14,510.46 and 4,125.48 is: 6,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.92 : 14,510.46 = 4,125.48 : x
  2. Step 2: Convert to fraction form
    9,670.92/14,510.46 = 4,125.48/x
  3. Step 3: Cross multiply
    9,670.92x = 14,510.46 × 4,125.48
  4. Step 4: Simplify right side
    9,670.92x = 59,862,612.52
  5. Step 5: Solve for x
    x = 59,862,612.52/9,670.92
  6. Step 6: Final answer
    x = 6,189.96

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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.