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Finding the Fourth Proportional to 15,333, 23,005.05 and 7,547.28

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Solution

The fourth proportional to 15,333, 23,005.05 and 7,547.28 is: 11,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,333 : 23,005.05 = 7,547.28 : x
  2. Step 2: Convert to fraction form
    15,333/23,005.05 = 7,547.28/x
  3. Step 3: Cross multiply
    15,333x = 23,005.05 × 7,547.28
  4. Step 4: Simplify right side
    15,333x = 173,625,553.76
  5. Step 5: Solve for x
    x = 173,625,553.76/15,333
  6. Step 6: Final answer
    x = 11,323.65

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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.