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Finding the Fourth Proportional to 10,663.90, 14,717.24 and 7,970.44

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Solution

The fourth proportional to 10,663.90, 14,717.24 and 7,970.44 is: 11,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.90 : 14,717.24 = 7,970.44 : x
  2. Step 2: Convert to fraction form
    10,663.90/14,717.24 = 7,970.44/x
  3. Step 3: Cross multiply
    10,663.90x = 14,717.24 × 7,970.44
  4. Step 4: Simplify right side
    10,663.90x = 117,302,878.39
  5. Step 5: Solve for x
    x = 117,302,878.39/10,663.90
  6. Step 6: Final answer
    x = 11,000.00

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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.