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Finding the Fourth Proportional to 15,837.16, 21,855.54 and 9,465.16

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Solution

The fourth proportional to 15,837.16, 21,855.54 and 9,465.16 is: 13,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837.16 : 21,855.54 = 9,465.16 : x
  2. Step 2: Convert to fraction form
    15,837.16/21,855.54 = 9,465.16/x
  3. Step 3: Cross multiply
    15,837.16x = 21,855.54 × 9,465.16
  4. Step 4: Simplify right side
    15,837.16x = 206,866,182.99
  5. Step 5: Solve for x
    x = 206,866,182.99/15,837.16
  6. Step 6: Final answer
    x = 13,062.08

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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.