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Finding the Fourth Proportional to 7,647.71, 10,553.95 and 4,460.92

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Solution

The fourth proportional to 7,647.71, 10,553.95 and 4,460.92 is: 6,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.71 : 10,553.95 = 4,460.92 : x
  2. Step 2: Convert to fraction form
    7,647.71/10,553.95 = 4,460.92/x
  3. Step 3: Cross multiply
    7,647.71x = 10,553.95 × 4,460.92
  4. Step 4: Simplify right side
    7,647.71x = 47,080,326.63
  5. Step 5: Solve for x
    x = 47,080,326.63/7,647.71
  6. Step 6: Final answer
    x = 6,156.13

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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.