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Finding the Fourth Proportional to 9,607.52, 13,258.14 and 5,415.74

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Solution

The fourth proportional to 9,607.52, 13,258.14 and 5,415.74 is: 7,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.52 : 13,258.14 = 5,415.74 : x
  2. Step 2: Convert to fraction form
    9,607.52/13,258.14 = 5,415.74/x
  3. Step 3: Cross multiply
    9,607.52x = 13,258.14 × 5,415.74
  4. Step 4: Simplify right side
    9,607.52x = 71,802,639.12
  5. Step 5: Solve for x
    x = 71,802,639.12/9,607.52
  6. Step 6: Final answer
    x = 7,473.59

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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.