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Finding the Fourth Proportional to 7,004.92, 9,671.52 and 4,356.40

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Solution

The fourth proportional to 7,004.92, 9,671.52 and 4,356.40 is: 6,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.92 : 9,671.52 = 4,356.40 : x
  2. Step 2: Convert to fraction form
    7,004.92/9,671.52 = 4,356.40/x
  3. Step 3: Cross multiply
    7,004.92x = 9,671.52 × 4,356.40
  4. Step 4: Simplify right side
    7,004.92x = 42,133,009.73
  5. Step 5: Solve for x
    x = 42,133,009.73/7,004.92
  6. Step 6: Final answer
    x = 6,014.77

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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.