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Finding the Fourth Proportional to 7,852.30, 11,007.80 and 7,852.30

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Solution

The fourth proportional to 7,852.30, 11,007.80 and 7,852.30 is: 11,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.30 : 11,007.80 = 7,852.30 : x
  2. Step 2: Convert to fraction form
    7,852.30/11,007.80 = 7,852.30/x
  3. Step 3: Cross multiply
    7,852.30x = 11,007.80 × 7,852.30
  4. Step 4: Simplify right side
    7,852.30x = 86,436,547.94
  5. Step 5: Solve for x
    x = 86,436,547.94/7,852.30
  6. Step 6: Final answer
    x = 11,007.80

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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.