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Finding the Fourth Proportional to 11,530.05, 15,913.16 and 7,053.08

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Solution

The fourth proportional to 11,530.05, 15,913.16 and 7,053.08 is: 9,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.05 : 15,913.16 = 7,053.08 : x
  2. Step 2: Convert to fraction form
    11,530.05/15,913.16 = 7,053.08/x
  3. Step 3: Cross multiply
    11,530.05x = 15,913.16 × 7,053.08
  4. Step 4: Simplify right side
    11,530.05x = 112,236,702.15
  5. Step 5: Solve for x
    x = 112,236,702.15/11,530.05
  6. Step 6: Final answer
    x = 9,734.28

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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.