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Finding the Fourth Proportional to 10,657.80, 15,973.94 and 7,533.12

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Solution

The fourth proportional to 10,657.80, 15,973.94 and 7,533.12 is: 11,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.80 : 15,973.94 = 7,533.12 : x
  2. Step 2: Convert to fraction form
    10,657.80/15,973.94 = 7,533.12/x
  3. Step 3: Cross multiply
    10,657.80x = 15,973.94 × 7,533.12
  4. Step 4: Simplify right side
    10,657.80x = 120,333,569.23
  5. Step 5: Solve for x
    x = 120,333,569.23/10,657.80
  6. Step 6: Final answer
    x = 11,290.66

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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.