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Finding the Fourth Proportional to 10,702.94, 14,775.01 and 6,225.05

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Solution

The fourth proportional to 10,702.94, 14,775.01 and 6,225.05 is: 8,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.94 : 14,775.01 = 6,225.05 : x
  2. Step 2: Convert to fraction form
    10,702.94/14,775.01 = 6,225.05/x
  3. Step 3: Cross multiply
    10,702.94x = 14,775.01 × 6,225.05
  4. Step 4: Simplify right side
    10,702.94x = 91,975,197.38
  5. Step 5: Solve for x
    x = 91,975,197.38/10,702.94
  6. Step 6: Final answer
    x = 8,593.46

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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.