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Finding the Fourth Proportional to 6,130.63, 8,460.02 and 3,477.98

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Solution

The fourth proportional to 6,130.63, 8,460.02 and 3,477.98 is: 4,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.63 : 8,460.02 = 3,477.98 : x
  2. Step 2: Convert to fraction form
    6,130.63/8,460.02 = 3,477.98/x
  3. Step 3: Cross multiply
    6,130.63x = 8,460.02 × 3,477.98
  4. Step 4: Simplify right side
    6,130.63x = 29,423,784.12
  5. Step 5: Solve for x
    x = 29,423,784.12/6,130.63
  6. Step 6: Final answer
    x = 4,799.47

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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.