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Finding the Fourth Proportional to 10,699.56, 14,751.90 and 6,916.32

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Solution

The fourth proportional to 10,699.56, 14,751.90 and 6,916.32 is: 9,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.56 : 14,751.90 = 6,916.32 : x
  2. Step 2: Convert to fraction form
    10,699.56/14,751.90 = 6,916.32/x
  3. Step 3: Cross multiply
    10,699.56x = 14,751.90 × 6,916.32
  4. Step 4: Simplify right side
    10,699.56x = 102,028,861.01
  5. Step 5: Solve for x
    x = 102,028,861.01/10,699.56
  6. Step 6: Final answer
    x = 9,535.80

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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.