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Finding the Fourth Proportional to 7,130.52, 10,695.80 and 4,204.80

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Solution

The fourth proportional to 7,130.52, 10,695.80 and 4,204.80 is: 6,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.52 : 10,695.80 = 4,204.80 : x
  2. Step 2: Convert to fraction form
    7,130.52/10,695.80 = 4,204.80/x
  3. Step 3: Cross multiply
    7,130.52x = 10,695.80 × 4,204.80
  4. Step 4: Simplify right side
    7,130.52x = 44,973,699.84
  5. Step 5: Solve for x
    x = 44,973,699.84/7,130.52
  6. Step 6: Final answer
    x = 6,307.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.