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Finding the Fourth Proportional to 10,363.58, 14,303.95 and 6,827.10

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Solution

The fourth proportional to 10,363.58, 14,303.95 and 6,827.10 is: 9,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.58 : 14,303.95 = 6,827.10 : x
  2. Step 2: Convert to fraction form
    10,363.58/14,303.95 = 6,827.10/x
  3. Step 3: Cross multiply
    10,363.58x = 14,303.95 × 6,827.10
  4. Step 4: Simplify right side
    10,363.58x = 97,654,497.05
  5. Step 5: Solve for x
    x = 97,654,497.05/10,363.58
  6. Step 6: Final answer
    x = 9,422.85

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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.