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Finding the Fourth Proportional to 12,007.70, 17,988.60 and 6,459.20

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Solution

The fourth proportional to 12,007.70, 17,988.60 and 6,459.20 is: 9,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.70 : 17,988.60 = 6,459.20 : x
  2. Step 2: Convert to fraction form
    12,007.70/17,988.60 = 6,459.20/x
  3. Step 3: Cross multiply
    12,007.70x = 17,988.60 × 6,459.20
  4. Step 4: Simplify right side
    12,007.70x = 116,191,965.12
  5. Step 5: Solve for x
    x = 116,191,965.12/12,007.70
  6. Step 6: Final answer
    x = 9,676.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.