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Finding the Fourth Proportional to 9,740.64, 13,444.32 and 5,709.30

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Solution

The fourth proportional to 9,740.64, 13,444.32 and 5,709.30 is: 7,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.64 : 13,444.32 = 5,709.30 : x
  2. Step 2: Convert to fraction form
    9,740.64/13,444.32 = 5,709.30/x
  3. Step 3: Cross multiply
    9,740.64x = 13,444.32 × 5,709.30
  4. Step 4: Simplify right side
    9,740.64x = 76,757,656.18
  5. Step 5: Solve for x
    x = 76,757,656.18/9,740.64
  6. Step 6: Final answer
    x = 7,880.15

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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.