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Finding the Fourth Proportional to 10,553.20, 14,565 and 6,363.76

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Solution

The fourth proportional to 10,553.20, 14,565 and 6,363.76 is: 8,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.20 : 14,565 = 6,363.76 : x
  2. Step 2: Convert to fraction form
    10,553.20/14,565 = 6,363.76/x
  3. Step 3: Cross multiply
    10,553.20x = 14,565 × 6,363.76
  4. Step 4: Simplify right side
    10,553.20x = 92,688,164.40
  5. Step 5: Solve for x
    x = 92,688,164.40/10,553.20
  6. Step 6: Final answer
    x = 8,782.94

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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.