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Finding the Fourth Proportional to 14,009.40, 21,014.10 and 9,854.10

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Solution

The fourth proportional to 14,009.40, 21,014.10 and 9,854.10 is: 14,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.40 : 21,014.10 = 9,854.10 : x
  2. Step 2: Convert to fraction form
    14,009.40/21,014.10 = 9,854.10/x
  3. Step 3: Cross multiply
    14,009.40x = 21,014.10 × 9,854.10
  4. Step 4: Simplify right side
    14,009.40x = 207,075,042.81
  5. Step 5: Solve for x
    x = 207,075,042.81/14,009.40
  6. Step 6: Final answer
    x = 14,781.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.