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Finding the Fourth Proportional to 9,940.16, 13,715.52 and 6,795.20

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Solution

The fourth proportional to 9,940.16, 13,715.52 and 6,795.20 is: 9,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.16 : 13,715.52 = 6,795.20 : x
  2. Step 2: Convert to fraction form
    9,940.16/13,715.52 = 6,795.20/x
  3. Step 3: Cross multiply
    9,940.16x = 13,715.52 × 6,795.20
  4. Step 4: Simplify right side
    9,940.16x = 93,199,701.50
  5. Step 5: Solve for x
    x = 93,199,701.50/9,940.16
  6. Step 6: Final answer
    x = 9,376.08

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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.