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Finding the Fourth Proportional to 10,412.76, 14,358.50 and 8,510.12

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Solution

The fourth proportional to 10,412.76, 14,358.50 and 8,510.12 is: 11,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.76 : 14,358.50 = 8,510.12 : x
  2. Step 2: Convert to fraction form
    10,412.76/14,358.50 = 8,510.12/x
  3. Step 3: Cross multiply
    10,412.76x = 14,358.50 × 8,510.12
  4. Step 4: Simplify right side
    10,412.76x = 122,192,558.02
  5. Step 5: Solve for x
    x = 122,192,558.02/10,412.76
  6. Step 6: Final answer
    x = 11,734.89

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Double scale
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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.