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Finding the Fourth Proportional to 6,460.59, 8,916.13 and 3,628.16

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Solution

The fourth proportional to 6,460.59, 8,916.13 and 3,628.16 is: 5,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.59 : 8,916.13 = 3,628.16 : x
  2. Step 2: Convert to fraction form
    6,460.59/8,916.13 = 3,628.16/x
  3. Step 3: Cross multiply
    6,460.59x = 8,916.13 × 3,628.16
  4. Step 4: Simplify right side
    6,460.59x = 32,349,139.61
  5. Step 5: Solve for x
    x = 32,349,139.61/6,460.59
  6. Step 6: Final answer
    x = 5,007.15

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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.