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Finding the Fourth Proportional to 10,554, 14,567.76 and 6,365.76

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Solution

The fourth proportional to 10,554, 14,567.76 and 6,365.76 is: 8,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554 : 14,567.76 = 6,365.76 : x
  2. Step 2: Convert to fraction form
    10,554/14,567.76 = 6,365.76/x
  3. Step 3: Cross multiply
    10,554x = 14,567.76 × 6,365.76
  4. Step 4: Simplify right side
    10,554x = 92,734,863.90
  5. Step 5: Solve for x
    x = 92,734,863.90/10,554
  6. Step 6: Final answer
    x = 8,786.70

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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.