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Finding the Fourth Proportional to 10,756.50, 14,842.64 and 6,276.99

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Solution

The fourth proportional to 10,756.50, 14,842.64 and 6,276.99 is: 8,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.50 : 14,842.64 = 6,276.99 : x
  2. Step 2: Convert to fraction form
    10,756.50/14,842.64 = 6,276.99/x
  3. Step 3: Cross multiply
    10,756.50x = 14,842.64 × 6,276.99
  4. Step 4: Simplify right side
    10,756.50x = 93,167,174.21
  5. Step 5: Solve for x
    x = 93,167,174.21/10,756.50
  6. Step 6: Final answer
    x = 8,661.48

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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.