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Finding the Fourth Proportional to 10,488.69, 14,465.79 and 7,652.88

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Solution

The fourth proportional to 10,488.69, 14,465.79 and 7,652.88 is: 10,554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.69 : 14,465.79 = 7,652.88 : x
  2. Step 2: Convert to fraction form
    10,488.69/14,465.79 = 7,652.88/x
  3. Step 3: Cross multiply
    10,488.69x = 14,465.79 × 7,652.88
  4. Step 4: Simplify right side
    10,488.69x = 110,704,954.98
  5. Step 5: Solve for x
    x = 110,704,954.98/10,488.69
  6. Step 6: Final answer
    x = 10,554.70

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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.