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Finding the Fourth Proportional to 9,967.70, 14,946.15 and 4,124.90

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Solution

The fourth proportional to 9,967.70, 14,946.15 and 4,124.90 is: 6,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.70 : 14,946.15 = 4,124.90 : x
  2. Step 2: Convert to fraction form
    9,967.70/14,946.15 = 4,124.90/x
  3. Step 3: Cross multiply
    9,967.70x = 14,946.15 × 4,124.90
  4. Step 4: Simplify right side
    9,967.70x = 61,651,374.14
  5. Step 5: Solve for x
    x = 61,651,374.14/9,967.70
  6. Step 6: Final answer
    x = 6,185.12

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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.