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Finding the Fourth Proportional to 7,646.40, 11,476.80 and 4,730.40

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Solution

The fourth proportional to 7,646.40, 11,476.80 and 4,730.40 is: 7,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.40 : 11,476.80 = 4,730.40 : x
  2. Step 2: Convert to fraction form
    7,646.40/11,476.80 = 4,730.40/x
  3. Step 3: Cross multiply
    7,646.40x = 11,476.80 × 4,730.40
  4. Step 4: Simplify right side
    7,646.40x = 54,289,854.72
  5. Step 5: Solve for x
    x = 54,289,854.72/7,646.40
  6. Step 6: Final answer
    x = 7,100.05

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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.