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Finding the Fourth Proportional to 7,926.30, 10,904.76 and 7,707.60

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Solution

The fourth proportional to 7,926.30, 10,904.76 and 7,707.60 is: 10,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.30 : 10,904.76 = 7,707.60 : x
  2. Step 2: Convert to fraction form
    7,926.30/10,904.76 = 7,707.60/x
  3. Step 3: Cross multiply
    7,926.30x = 10,904.76 × 7,707.60
  4. Step 4: Simplify right side
    7,926.30x = 84,049,528.18
  5. Step 5: Solve for x
    x = 84,049,528.18/7,926.30
  6. Step 6: Final answer
    x = 10,603.88

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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.