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Finding the Fourth Proportional to 13,030.08, 17,984.64 and 7,444.32

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Solution

The fourth proportional to 13,030.08, 17,984.64 and 7,444.32 is: 10,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.08 : 17,984.64 = 7,444.32 : x
  2. Step 2: Convert to fraction form
    13,030.08/17,984.64 = 7,444.32/x
  3. Step 3: Cross multiply
    13,030.08x = 17,984.64 × 7,444.32
  4. Step 4: Simplify right side
    13,030.08x = 133,883,415.24
  5. Step 5: Solve for x
    x = 133,883,415.24/13,030.08
  6. Step 6: Final answer
    x = 10,274.95

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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.