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Finding the Fourth Proportional to 8,003.64, 11,042.10 and 4,646.04

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Solution

The fourth proportional to 8,003.64, 11,042.10 and 4,646.04 is: 6,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.64 : 11,042.10 = 4,646.04 : x
  2. Step 2: Convert to fraction form
    8,003.64/11,042.10 = 4,646.04/x
  3. Step 3: Cross multiply
    8,003.64x = 11,042.10 × 4,646.04
  4. Step 4: Simplify right side
    8,003.64x = 51,302,038.28
  5. Step 5: Solve for x
    x = 51,302,038.28/8,003.64
  6. Step 6: Final answer
    x = 6,409.84

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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.