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Finding the Fourth Proportional to 9,804.64, 13,530 and 5,612.32

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Solution

The fourth proportional to 9,804.64, 13,530 and 5,612.32 is: 7,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.64 : 13,530 = 5,612.32 : x
  2. Step 2: Convert to fraction form
    9,804.64/13,530 = 5,612.32/x
  3. Step 3: Cross multiply
    9,804.64x = 13,530 × 5,612.32
  4. Step 4: Simplify right side
    9,804.64x = 75,934,689.60
  5. Step 5: Solve for x
    x = 75,934,689.60/9,804.64
  6. Step 6: Final answer
    x = 7,744.77

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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.