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Finding the Fourth Proportional to 11,482.26, 15,852.42 and 7,510.02

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Solution

The fourth proportional to 11,482.26, 15,852.42 and 7,510.02 is: 10,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.26 : 15,852.42 = 7,510.02 : x
  2. Step 2: Convert to fraction form
    11,482.26/15,852.42 = 7,510.02/x
  3. Step 3: Cross multiply
    11,482.26x = 15,852.42 × 7,510.02
  4. Step 4: Simplify right side
    11,482.26x = 119,051,991.25
  5. Step 5: Solve for x
    x = 119,051,991.25/11,482.26
  6. Step 6: Final answer
    x = 10,368.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.