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Finding the Fourth Proportional to 12,564, 18,854.64 and 4,356

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Solution

The fourth proportional to 12,564, 18,854.64 and 4,356 is: 6,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564 : 18,854.64 = 4,356 : x
  2. Step 2: Convert to fraction form
    12,564/18,854.64 = 4,356/x
  3. Step 3: Cross multiply
    12,564x = 18,854.64 × 4,356
  4. Step 4: Simplify right side
    12,564x = 82,130,811.84
  5. Step 5: Solve for x
    x = 82,130,811.84/12,564
  6. Step 6: Final answer
    x = 6,537.00

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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.