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Finding the Fourth Proportional to 7,029.47, 9,700.39 and 4,045.41

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Solution

The fourth proportional to 7,029.47, 9,700.39 and 4,045.41 is: 5,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.47 : 9,700.39 = 4,045.41 : x
  2. Step 2: Convert to fraction form
    7,029.47/9,700.39 = 4,045.41/x
  3. Step 3: Cross multiply
    7,029.47x = 9,700.39 × 4,045.41
  4. Step 4: Simplify right side
    7,029.47x = 39,242,034.48
  5. Step 5: Solve for x
    x = 39,242,034.48/7,029.47
  6. Step 6: Final answer
    x = 5,582.50

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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.