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Finding the Fourth Proportional to 4,750.64, 6,564.20 and 3,430.20

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Solution

The fourth proportional to 4,750.64, 6,564.20 and 3,430.20 is: 4,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.64 : 6,564.20 = 3,430.20 : x
  2. Step 2: Convert to fraction form
    4,750.64/6,564.20 = 3,430.20/x
  3. Step 3: Cross multiply
    4,750.64x = 6,564.20 × 3,430.20
  4. Step 4: Simplify right side
    4,750.64x = 22,516,501.69
  5. Step 5: Solve for x
    x = 22,516,501.69/4,750.64
  6. Step 6: Final answer
    x = 4,739.68

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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.