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Finding the Fourth Proportional to 23,655.52, 35,476.08 and 7,857.76

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Solution

The fourth proportional to 23,655.52, 35,476.08 and 7,857.76 is: 11,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,655.52 : 35,476.08 = 7,857.76 : x
  2. Step 2: Convert to fraction form
    23,655.52/35,476.08 = 7,857.76/x
  3. Step 3: Cross multiply
    23,655.52x = 35,476.08 × 7,857.76
  4. Step 4: Simplify right side
    23,655.52x = 278,762,522.38
  5. Step 5: Solve for x
    x = 278,762,522.38/23,655.52
  6. Step 6: Final answer
    x = 11,784.25

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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.