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Finding the Fourth Proportional to 7,713.54, 11,570.32 and 1,870.16

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Solution

The fourth proportional to 7,713.54, 11,570.32 and 1,870.16 is: 2,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.54 : 11,570.32 = 1,870.16 : x
  2. Step 2: Convert to fraction form
    7,713.54/11,570.32 = 1,870.16/x
  3. Step 3: Cross multiply
    7,713.54x = 11,570.32 × 1,870.16
  4. Step 4: Simplify right side
    7,713.54x = 21,638,349.65
  5. Step 5: Solve for x
    x = 21,638,349.65/7,713.54
  6. Step 6: Final answer
    x = 2,805.24

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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.