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Finding the Fourth Proportional to 10,509.53, 14,505.62 and 6,533.64

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Solution

The fourth proportional to 10,509.53, 14,505.62 and 6,533.64 is: 9,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.53 : 14,505.62 = 6,533.64 : x
  2. Step 2: Convert to fraction form
    10,509.53/14,505.62 = 6,533.64/x
  3. Step 3: Cross multiply
    10,509.53x = 14,505.62 × 6,533.64
  4. Step 4: Simplify right side
    10,509.53x = 94,774,466.39
  5. Step 5: Solve for x
    x = 94,774,466.39/10,509.53
  6. Step 6: Final answer
    x = 9,017.96

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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.