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Finding the Fourth Proportional to 7,094.32, 9,782.89 and 4,703.46

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Solution

The fourth proportional to 7,094.32, 9,782.89 and 4,703.46 is: 6,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.32 : 9,782.89 = 4,703.46 : x
  2. Step 2: Convert to fraction form
    7,094.32/9,782.89 = 4,703.46/x
  3. Step 3: Cross multiply
    7,094.32x = 9,782.89 × 4,703.46
  4. Step 4: Simplify right side
    7,094.32x = 46,013,431.80
  5. Step 5: Solve for x
    x = 46,013,431.80/7,094.32
  6. Step 6: Final answer
    x = 6,485.95

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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.