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Finding the Fourth Proportional to 10,647.16, 15,863.75 and 10,051

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Solution

The fourth proportional to 10,647.16, 15,863.75 and 10,051 is: 14,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.16 : 15,863.75 = 10,051 : x
  2. Step 2: Convert to fraction form
    10,647.16/15,863.75 = 10,051/x
  3. Step 3: Cross multiply
    10,647.16x = 15,863.75 × 10,051
  4. Step 4: Simplify right side
    10,647.16x = 159,446,551.25
  5. Step 5: Solve for x
    x = 159,446,551.25/10,647.16
  6. Step 6: Final answer
    x = 14,975.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.