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Finding the Fourth Proportional to 12,307.77, 16,984.17 and 7,003.08

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Solution

The fourth proportional to 12,307.77, 16,984.17 and 7,003.08 is: 9,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.77 : 16,984.17 = 7,003.08 : x
  2. Step 2: Convert to fraction form
    12,307.77/16,984.17 = 7,003.08/x
  3. Step 3: Cross multiply
    12,307.77x = 16,984.17 × 7,003.08
  4. Step 4: Simplify right side
    12,307.77x = 118,941,501.24
  5. Step 5: Solve for x
    x = 118,941,501.24/12,307.77
  6. Step 6: Final answer
    x = 9,663.94

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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.