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Finding the Fourth Proportional to 8,702.42, 12,012.45 and 5,165.63

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Solution

The fourth proportional to 8,702.42, 12,012.45 and 5,165.63 is: 7,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.42 : 12,012.45 = 5,165.63 : x
  2. Step 2: Convert to fraction form
    8,702.42/12,012.45 = 5,165.63/x
  3. Step 3: Cross multiply
    8,702.42x = 12,012.45 × 5,165.63
  4. Step 4: Simplify right side
    8,702.42x = 62,051,812.03
  5. Step 5: Solve for x
    x = 62,051,812.03/8,702.42
  6. Step 6: Final answer
    x = 7,130.41

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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.