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Finding the Fourth Proportional to 15,881.84, 23,822.14 and 7,565.16

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Solution

The fourth proportional to 15,881.84, 23,822.14 and 7,565.16 is: 11,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.84 : 23,822.14 = 7,565.16 : x
  2. Step 2: Convert to fraction form
    15,881.84/23,822.14 = 7,565.16/x
  3. Step 3: Cross multiply
    15,881.84x = 23,822.14 × 7,565.16
  4. Step 4: Simplify right side
    15,881.84x = 180,218,300.64
  5. Step 5: Solve for x
    x = 180,218,300.64/15,881.84
  6. Step 6: Final answer
    x = 11,347.44

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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.