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Finding the Fourth Proportional to 9,714.83, 14,572.23 and 6,946.90

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Solution

The fourth proportional to 9,714.83, 14,572.23 and 6,946.90 is: 10,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.83 : 14,572.23 = 6,946.90 : x
  2. Step 2: Convert to fraction form
    9,714.83/14,572.23 = 6,946.90/x
  3. Step 3: Cross multiply
    9,714.83x = 14,572.23 × 6,946.90
  4. Step 4: Simplify right side
    9,714.83x = 101,231,762.11
  5. Step 5: Solve for x
    x = 101,231,762.11/9,714.83
  6. Step 6: Final answer
    x = 10,420.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.