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Finding the Fourth Proportional to 7,590.64, 10,485.06 and 5,819.20

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Solution

The fourth proportional to 7,590.64, 10,485.06 and 5,819.20 is: 8,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.64 : 10,485.06 = 5,819.20 : x
  2. Step 2: Convert to fraction form
    7,590.64/10,485.06 = 5,819.20/x
  3. Step 3: Cross multiply
    7,590.64x = 10,485.06 × 5,819.20
  4. Step 4: Simplify right side
    7,590.64x = 61,014,661.15
  5. Step 5: Solve for x
    x = 61,014,661.15/7,590.64
  6. Step 6: Final answer
    x = 8,038.14

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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.