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Finding the Fourth Proportional to 10,854.65, 14,980.14 and 6,075.05

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Solution

The fourth proportional to 10,854.65, 14,980.14 and 6,075.05 is: 8,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.65 : 14,980.14 = 6,075.05 : x
  2. Step 2: Convert to fraction form
    10,854.65/14,980.14 = 6,075.05/x
  3. Step 3: Cross multiply
    10,854.65x = 14,980.14 × 6,075.05
  4. Step 4: Simplify right side
    10,854.65x = 91,005,024.61
  5. Step 5: Solve for x
    x = 91,005,024.61/10,854.65
  6. Step 6: Final answer
    x = 8,383.96

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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.