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Finding the Fourth Proportional to 10,749, 14,835.24 and 6,559.68

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Solution

The fourth proportional to 10,749, 14,835.24 and 6,559.68 is: 9,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749 : 14,835.24 = 6,559.68 : x
  2. Step 2: Convert to fraction form
    10,749/14,835.24 = 6,559.68/x
  3. Step 3: Cross multiply
    10,749x = 14,835.24 × 6,559.68
  4. Step 4: Simplify right side
    10,749x = 97,314,427.12
  5. Step 5: Solve for x
    x = 97,314,427.12/10,749
  6. Step 6: Final answer
    x = 9,053.35

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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.