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Finding the Fourth Proportional to 10,533.51, 14,539.14 and 6,552.25

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Solution

The fourth proportional to 10,533.51, 14,539.14 and 6,552.25 is: 9,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.51 : 14,539.14 = 6,552.25 : x
  2. Step 2: Convert to fraction form
    10,533.51/14,539.14 = 6,552.25/x
  3. Step 3: Cross multiply
    10,533.51x = 14,539.14 × 6,552.25
  4. Step 4: Simplify right side
    10,533.51x = 95,264,043.72
  5. Step 5: Solve for x
    x = 95,264,043.72/10,533.51
  6. Step 6: Final answer
    x = 9,043.90

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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.