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Finding the Fourth Proportional to 15,284.30, 22,927.16 and 7,903.18

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Solution

The fourth proportional to 15,284.30, 22,927.16 and 7,903.18 is: 11,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284.30 : 22,927.16 = 7,903.18 : x
  2. Step 2: Convert to fraction form
    15,284.30/22,927.16 = 7,903.18/x
  3. Step 3: Cross multiply
    15,284.30x = 22,927.16 × 7,903.18
  4. Step 4: Simplify right side
    15,284.30x = 181,197,472.37
  5. Step 5: Solve for x
    x = 181,197,472.37/15,284.30
  6. Step 6: Final answer
    x = 11,855.14

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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.