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Finding the Fourth Proportional to 19,547.60, 29,322.64 and 7,859.20

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Solution

The fourth proportional to 19,547.60, 29,322.64 and 7,859.20 is: 11,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,547.60 : 29,322.64 = 7,859.20 : x
  2. Step 2: Convert to fraction form
    19,547.60/29,322.64 = 7,859.20/x
  3. Step 3: Cross multiply
    19,547.60x = 29,322.64 × 7,859.20
  4. Step 4: Simplify right side
    19,547.60x = 230,452,492.29
  5. Step 5: Solve for x
    x = 230,452,492.29/19,547.60
  6. Step 6: Final answer
    x = 11,789.30

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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.