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Finding the Fourth Proportional to 6,970.66, 9,615.45 and 4,486.66

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Solution

The fourth proportional to 6,970.66, 9,615.45 and 4,486.66 is: 6,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.66 : 9,615.45 = 4,486.66 : x
  2. Step 2: Convert to fraction form
    6,970.66/9,615.45 = 4,486.66/x
  3. Step 3: Cross multiply
    6,970.66x = 9,615.45 × 4,486.66
  4. Step 4: Simplify right side
    6,970.66x = 43,141,254.90
  5. Step 5: Solve for x
    x = 43,141,254.90/6,970.66
  6. Step 6: Final answer
    x = 6,188.98

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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.