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Finding the Fourth Proportional to 9,574.76, 13,214.18 and 5,597.16

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Solution

The fourth proportional to 9,574.76, 13,214.18 and 5,597.16 is: 7,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.76 : 13,214.18 = 5,597.16 : x
  2. Step 2: Convert to fraction form
    9,574.76/13,214.18 = 5,597.16/x
  3. Step 3: Cross multiply
    9,574.76x = 13,214.18 × 5,597.16
  4. Step 4: Simplify right side
    9,574.76x = 73,961,879.73
  5. Step 5: Solve for x
    x = 73,961,879.73/9,574.76
  6. Step 6: Final answer
    x = 7,724.67

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Half scale
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Double 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.