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Finding the Fourth Proportional to 6,904.04, 9,526.28 and 4,214.70

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Solution

The fourth proportional to 6,904.04, 9,526.28 and 4,214.70 is: 5,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.04 : 9,526.28 = 4,214.70 : x
  2. Step 2: Convert to fraction form
    6,904.04/9,526.28 = 4,214.70/x
  3. Step 3: Cross multiply
    6,904.04x = 9,526.28 × 4,214.70
  4. Step 4: Simplify right side
    6,904.04x = 40,150,391.24
  5. Step 5: Solve for x
    x = 40,150,391.24/6,904.04
  6. Step 6: Final answer
    x = 5,815.50

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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.