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Finding the Fourth Proportional to 28,077.12, 42,115.68 and 7,299

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Solution

The fourth proportional to 28,077.12, 42,115.68 and 7,299 is: 10,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,077.12 : 42,115.68 = 7,299 : x
  2. Step 2: Convert to fraction form
    28,077.12/42,115.68 = 7,299/x
  3. Step 3: Cross multiply
    28,077.12x = 42,115.68 × 7,299
  4. Step 4: Simplify right side
    28,077.12x = 307,402,348.32
  5. Step 5: Solve for x
    x = 307,402,348.32/28,077.12
  6. Step 6: Final answer
    x = 10,948.50

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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.