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Finding the Fourth Proportional to 8,702.94, 12,041.70 and 7,586.19

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Solution

The fourth proportional to 8,702.94, 12,041.70 and 7,586.19 is: 10,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.94 : 12,041.70 = 7,586.19 : x
  2. Step 2: Convert to fraction form
    8,702.94/12,041.70 = 7,586.19/x
  3. Step 3: Cross multiply
    8,702.94x = 12,041.70 × 7,586.19
  4. Step 4: Simplify right side
    8,702.94x = 91,350,624.12
  5. Step 5: Solve for x
    x = 91,350,624.12/8,702.94
  6. Step 6: Final answer
    x = 10,496.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.