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Finding the Fourth Proportional to 9,068.40, 13,586.40 and 7,772.40

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Solution

The fourth proportional to 9,068.40, 13,586.40 and 7,772.40 is: 11,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.40 : 13,586.40 = 7,772.40 : x
  2. Step 2: Convert to fraction form
    9,068.40/13,586.40 = 7,772.40/x
  3. Step 3: Cross multiply
    9,068.40x = 13,586.40 × 7,772.40
  4. Step 4: Simplify right side
    9,068.40x = 105,598,935.36
  5. Step 5: Solve for x
    x = 105,598,935.36/9,068.40
  6. Step 6: Final answer
    x = 11,644.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.