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Finding the Fourth Proportional to 9,685.68, 13,368.85 and 9,097.62

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Solution

The fourth proportional to 9,685.68, 13,368.85 and 9,097.62 is: 12,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.68 : 13,368.85 = 9,097.62 : x
  2. Step 2: Convert to fraction form
    9,685.68/13,368.85 = 9,097.62/x
  3. Step 3: Cross multiply
    9,685.68x = 13,368.85 × 9,097.62
  4. Step 4: Simplify right side
    9,685.68x = 121,624,644.26
  5. Step 5: Solve for x
    x = 121,624,644.26/9,685.68
  6. Step 6: Final answer
    x = 12,557.17

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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.