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Finding the Fourth Proportional to 11,070.80, 15,538 and 11,070.80

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Solution

The fourth proportional to 11,070.80, 15,538 and 11,070.80 is: 15,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,070.80 : 15,538 = 11,070.80 : x
  2. Step 2: Convert to fraction form
    11,070.80/15,538 = 11,070.80/x
  3. Step 3: Cross multiply
    11,070.80x = 15,538 × 11,070.80
  4. Step 4: Simplify right side
    11,070.80x = 172,018,090.40
  5. Step 5: Solve for x
    x = 172,018,090.40/11,070.80
  6. Step 6: Final answer
    x = 15,538.00

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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.