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Finding the Fourth Proportional to 17,110.70, 25,646.85 and 9,718.70

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Solution

The fourth proportional to 17,110.70, 25,646.85 and 9,718.70 is: 14,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,110.70 : 25,646.85 = 9,718.70 : x
  2. Step 2: Convert to fraction form
    17,110.70/25,646.85 = 9,718.70/x
  3. Step 3: Cross multiply
    17,110.70x = 25,646.85 × 9,718.70
  4. Step 4: Simplify right side
    17,110.70x = 249,254,041.10
  5. Step 5: Solve for x
    x = 249,254,041.10/17,110.70
  6. Step 6: Final answer
    x = 14,567.14

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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.