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Finding the Fourth Proportional to 9,675.76, 14,518.72 and 7,029.22

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Solution

The fourth proportional to 9,675.76, 14,518.72 and 7,029.22 is: 10,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.76 : 14,518.72 = 7,029.22 : x
  2. Step 2: Convert to fraction form
    9,675.76/14,518.72 = 7,029.22/x
  3. Step 3: Cross multiply
    9,675.76x = 14,518.72 × 7,029.22
  4. Step 4: Simplify right side
    9,675.76x = 102,055,277.00
  5. Step 5: Solve for x
    x = 102,055,277.00/9,675.76
  6. Step 6: Final answer
    x = 10,547.52

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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.