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Finding the Fourth Proportional to 10,775.77, 14,870.86 and 6,525.93

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Solution

The fourth proportional to 10,775.77, 14,870.86 and 6,525.93 is: 9,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.77 : 14,870.86 = 6,525.93 : x
  2. Step 2: Convert to fraction form
    10,775.77/14,870.86 = 6,525.93/x
  3. Step 3: Cross multiply
    10,775.77x = 14,870.86 × 6,525.93
  4. Step 4: Simplify right side
    10,775.77x = 97,046,212.26
  5. Step 5: Solve for x
    x = 97,046,212.26/10,775.77
  6. Step 6: Final answer
    x = 9,005.97

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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.