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Finding the Fourth Proportional to 25,698.60, 38,547.90 and 9,077.40

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Solution

The fourth proportional to 25,698.60, 38,547.90 and 9,077.40 is: 13,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698.60 : 38,547.90 = 9,077.40 : x
  2. Step 2: Convert to fraction form
    25,698.60/38,547.90 = 9,077.40/x
  3. Step 3: Cross multiply
    25,698.60x = 38,547.90 × 9,077.40
  4. Step 4: Simplify right side
    25,698.60x = 349,914,707.46
  5. Step 5: Solve for x
    x = 349,914,707.46/25,698.60
  6. Step 6: Final answer
    x = 13,616.10

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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.