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Finding the Fourth Proportional to 7,430.40, 10,422 and 7,430.40

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Solution

The fourth proportional to 7,430.40, 10,422 and 7,430.40 is: 10,422

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.40 : 10,422 = 7,430.40 : x
  2. Step 2: Convert to fraction form
    7,430.40/10,422 = 7,430.40/x
  3. Step 3: Cross multiply
    7,430.40x = 10,422 × 7,430.40
  4. Step 4: Simplify right side
    7,430.40x = 77,439,628.80
  5. Step 5: Solve for x
    x = 77,439,628.80/7,430.40
  6. Step 6: Final answer
    x = 10,422

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.