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Finding the Fourth Proportional to 7,094.61, 9,790.88 and 4,070.63

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Solution

The fourth proportional to 7,094.61, 9,790.88 and 4,070.63 is: 5,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.61 : 9,790.88 = 4,070.63 : x
  2. Step 2: Convert to fraction form
    7,094.61/9,790.88 = 4,070.63/x
  3. Step 3: Cross multiply
    7,094.61x = 9,790.88 × 4,070.63
  4. Step 4: Simplify right side
    7,094.61x = 39,855,000.90
  5. Step 5: Solve for x
    x = 39,855,000.90/7,094.61
  6. Step 6: Final answer
    x = 5,617.65

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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.