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Finding the Fourth Proportional to 7,815.10, 10,785.03 and 4,278.30

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Solution

The fourth proportional to 7,815.10, 10,785.03 and 4,278.30 is: 5,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.10 : 10,785.03 = 4,278.30 : x
  2. Step 2: Convert to fraction form
    7,815.10/10,785.03 = 4,278.30/x
  3. Step 3: Cross multiply
    7,815.10x = 10,785.03 × 4,278.30
  4. Step 4: Simplify right side
    7,815.10x = 46,141,572.46
  5. Step 5: Solve for x
    x = 46,141,572.46/7,815.10
  6. Step 6: Final answer
    x = 5,904.16

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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.