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Finding the Fourth Proportional to 10,070.80, 15,122.40 and 7,608.40

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Solution

The fourth proportional to 10,070.80, 15,122.40 and 7,608.40 is: 11,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.80 : 15,122.40 = 7,608.40 : x
  2. Step 2: Convert to fraction form
    10,070.80/15,122.40 = 7,608.40/x
  3. Step 3: Cross multiply
    10,070.80x = 15,122.40 × 7,608.40
  4. Step 4: Simplify right side
    10,070.80x = 115,057,268.16
  5. Step 5: Solve for x
    x = 115,057,268.16/10,070.80
  6. Step 6: Final answer
    x = 11,424.84

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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.