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Finding the Fourth Proportional to 10,762.67, 14,852.63 and 6,513.68

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Solution

The fourth proportional to 10,762.67, 14,852.63 and 6,513.68 is: 8,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.67 : 14,852.63 = 6,513.68 : x
  2. Step 2: Convert to fraction form
    10,762.67/14,852.63 = 6,513.68/x
  3. Step 3: Cross multiply
    10,762.67x = 14,852.63 × 6,513.68
  4. Step 4: Simplify right side
    10,762.67x = 96,745,278.98
  5. Step 5: Solve for x
    x = 96,745,278.98/10,762.67
  6. Step 6: Final answer
    x = 8,988.97

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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.