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Finding the Fourth Proportional to 12,303.58, 16,978.64 and 6,998.06

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Solution

The fourth proportional to 12,303.58, 16,978.64 and 6,998.06 is: 9,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.58 : 16,978.64 = 6,998.06 : x
  2. Step 2: Convert to fraction form
    12,303.58/16,978.64 = 6,998.06/x
  3. Step 3: Cross multiply
    12,303.58x = 16,978.64 × 6,998.06
  4. Step 4: Simplify right side
    12,303.58x = 118,817,541.44
  5. Step 5: Solve for x
    x = 118,817,541.44/12,303.58
  6. Step 6: Final answer
    x = 9,657.15

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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.