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Finding the Fourth Proportional to 7,030.80, 9,695.76 and 5,434.92

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Solution

The fourth proportional to 7,030.80, 9,695.76 and 5,434.92 is: 7,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.80 : 9,695.76 = 5,434.92 : x
  2. Step 2: Convert to fraction form
    7,030.80/9,695.76 = 5,434.92/x
  3. Step 3: Cross multiply
    7,030.80x = 9,695.76 × 5,434.92
  4. Step 4: Simplify right side
    7,030.80x = 52,695,679.94
  5. Step 5: Solve for x
    x = 52,695,679.94/7,030.80
  6. Step 6: Final answer
    x = 7,494.98

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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.