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Finding the Fourth Proportional to 13,097.08, 18,071.94 and 7,507

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Solution

The fourth proportional to 13,097.08, 18,071.94 and 7,507 is: 10,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.08 : 18,071.94 = 7,507 : x
  2. Step 2: Convert to fraction form
    13,097.08/18,071.94 = 7,507/x
  3. Step 3: Cross multiply
    13,097.08x = 18,071.94 × 7,507
  4. Step 4: Simplify right side
    13,097.08x = 135,666,053.58
  5. Step 5: Solve for x
    x = 135,666,053.58/13,097.08
  6. Step 6: Final answer
    x = 10,358.50

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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.