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Finding the Fourth Proportional to 10,561.14, 15,841.62 and 5,888.16

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Solution

The fourth proportional to 10,561.14, 15,841.62 and 5,888.16 is: 8,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.14 : 15,841.62 = 5,888.16 : x
  2. Step 2: Convert to fraction form
    10,561.14/15,841.62 = 5,888.16/x
  3. Step 3: Cross multiply
    10,561.14x = 15,841.62 × 5,888.16
  4. Step 4: Simplify right side
    10,561.14x = 93,277,993.22
  5. Step 5: Solve for x
    x = 93,277,993.22/10,561.14
  6. Step 6: Final answer
    x = 8,832.19

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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.