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Finding the Fourth Proportional to 10,651.77, 14,700.54 and 6,404.22

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Solution

The fourth proportional to 10,651.77, 14,700.54 and 6,404.22 is: 8,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.77 : 14,700.54 = 6,404.22 : x
  2. Step 2: Convert to fraction form
    10,651.77/14,700.54 = 6,404.22/x
  3. Step 3: Cross multiply
    10,651.77x = 14,700.54 × 6,404.22
  4. Step 4: Simplify right side
    10,651.77x = 94,145,492.28
  5. Step 5: Solve for x
    x = 94,145,492.28/10,651.77
  6. Step 6: Final answer
    x = 8,838.48

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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.