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Finding the Fourth Proportional to 7,657.70, 11,462.67 and 5,898.15

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Solution

The fourth proportional to 7,657.70, 11,462.67 and 5,898.15 is: 8,828.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.70 : 11,462.67 = 5,898.15 : x
  2. Step 2: Convert to fraction form
    7,657.70/11,462.67 = 5,898.15/x
  3. Step 3: Cross multiply
    7,657.70x = 11,462.67 × 5,898.15
  4. Step 4: Simplify right side
    7,657.70x = 67,608,547.06
  5. Step 5: Solve for x
    x = 67,608,547.06/7,657.70
  6. Step 6: Final answer
    x = 8,828.84

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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.