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Finding the Fourth Proportional to 4,641.20, 6,509.20 and 4,641.20

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Solution

The fourth proportional to 4,641.20, 6,509.20 and 4,641.20 is: 6,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.20 : 6,509.20 = 4,641.20 : x
  2. Step 2: Convert to fraction form
    4,641.20/6,509.20 = 4,641.20/x
  3. Step 3: Cross multiply
    4,641.20x = 6,509.20 × 4,641.20
  4. Step 4: Simplify right side
    4,641.20x = 30,210,499.04
  5. Step 5: Solve for x
    x = 30,210,499.04/4,641.20
  6. Step 6: Final answer
    x = 6,509.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.