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Finding the Fourth Proportional to 9,754.76, 13,458.82 and 5,774.12

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Solution

The fourth proportional to 9,754.76, 13,458.82 and 5,774.12 is: 7,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.76 : 13,458.82 = 5,774.12 : x
  2. Step 2: Convert to fraction form
    9,754.76/13,458.82 = 5,774.12/x
  3. Step 3: Cross multiply
    9,754.76x = 13,458.82 × 5,774.12
  4. Step 4: Simplify right side
    9,754.76x = 77,712,841.74
  5. Step 5: Solve for x
    x = 77,712,841.74/9,754.76
  6. Step 6: Final answer
    x = 7,966.66

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Half scale
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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.