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Finding the Fourth Proportional to 10,762.70, 14,851.70 and 6,046.08

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Solution

The fourth proportional to 10,762.70, 14,851.70 and 6,046.08 is: 8,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.70 : 14,851.70 = 6,046.08 : x
  2. Step 2: Convert to fraction form
    10,762.70/14,851.70 = 6,046.08/x
  3. Step 3: Cross multiply
    10,762.70x = 14,851.70 × 6,046.08
  4. Step 4: Simplify right side
    10,762.70x = 89,794,566.34
  5. Step 5: Solve for x
    x = 89,794,566.34/10,762.70
  6. Step 6: Final answer
    x = 8,343.13

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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.