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Finding the Fourth Proportional to 9,497.94, 13,094.94 and 7,790.16

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Solution

The fourth proportional to 9,497.94, 13,094.94 and 7,790.16 is: 10,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.94 : 13,094.94 = 7,790.16 : x
  2. Step 2: Convert to fraction form
    9,497.94/13,094.94 = 7,790.16/x
  3. Step 3: Cross multiply
    9,497.94x = 13,094.94 × 7,790.16
  4. Step 4: Simplify right side
    9,497.94x = 102,011,677.79
  5. Step 5: Solve for x
    x = 102,011,677.79/9,497.94
  6. Step 6: Final answer
    x = 10,740.40

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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.