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Finding the Fourth Proportional to 5,133.40, 7,206.20 and 5,133.40

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Solution

The fourth proportional to 5,133.40, 7,206.20 and 5,133.40 is: 7,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.40 : 7,206.20 = 5,133.40 : x
  2. Step 2: Convert to fraction form
    5,133.40/7,206.20 = 5,133.40/x
  3. Step 3: Cross multiply
    5,133.40x = 7,206.20 × 5,133.40
  4. Step 4: Simplify right side
    5,133.40x = 36,992,307.08
  5. Step 5: Solve for x
    x = 36,992,307.08/5,133.40
  6. Step 6: Final answer
    x = 7,206.20

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Half 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.