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Finding the Fourth Proportional to 9,841.64, 14,697.22 and 8,649.32

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Solution

The fourth proportional to 9,841.64, 14,697.22 and 8,649.32 is: 12,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.64 : 14,697.22 = 8,649.32 : x
  2. Step 2: Convert to fraction form
    9,841.64/14,697.22 = 8,649.32/x
  3. Step 3: Cross multiply
    9,841.64x = 14,697.22 × 8,649.32
  4. Step 4: Simplify right side
    9,841.64x = 127,120,842.16
  5. Step 5: Solve for x
    x = 127,120,842.16/9,841.64
  6. Step 6: Final answer
    x = 12,916.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.