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Finding the Fourth Proportional to 11,005.77, 15,184.16 and 7,029.08

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Solution

The fourth proportional to 11,005.77, 15,184.16 and 7,029.08 is: 9,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.77 : 15,184.16 = 7,029.08 : x
  2. Step 2: Convert to fraction form
    11,005.77/15,184.16 = 7,029.08/x
  3. Step 3: Cross multiply
    11,005.77x = 15,184.16 × 7,029.08
  4. Step 4: Simplify right side
    11,005.77x = 106,730,647.61
  5. Step 5: Solve for x
    x = 106,730,647.61/11,005.77
  6. Step 6: Final answer
    x = 9,697.70

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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.