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Finding the Fourth Proportional to 10,702.98, 14,769.11 and 7,246.53

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Solution

The fourth proportional to 10,702.98, 14,769.11 and 7,246.53 is: 9,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.98 : 14,769.11 = 7,246.53 : x
  2. Step 2: Convert to fraction form
    10,702.98/14,769.11 = 7,246.53/x
  3. Step 3: Cross multiply
    10,702.98x = 14,769.11 × 7,246.53
  4. Step 4: Simplify right side
    10,702.98x = 107,024,798.69
  5. Step 5: Solve for x
    x = 107,024,798.69/10,702.98
  6. Step 6: Final answer
    x = 9,999.53

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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.