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Finding the Fourth Proportional to 9,857.97, 14,792.63 and 4,014.63

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Solution

The fourth proportional to 9,857.97, 14,792.63 and 4,014.63 is: 6,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.97 : 14,792.63 = 4,014.63 : x
  2. Step 2: Convert to fraction form
    9,857.97/14,792.63 = 4,014.63/x
  3. Step 3: Cross multiply
    9,857.97x = 14,792.63 × 4,014.63
  4. Step 4: Simplify right side
    9,857.97x = 59,386,916.10
  5. Step 5: Solve for x
    x = 59,386,916.10/9,857.97
  6. Step 6: Final answer
    x = 6,024.25

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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.