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Finding the Fourth Proportional to 9,547.12, 14,322.84 and 7,214.32

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Solution

The fourth proportional to 9,547.12, 14,322.84 and 7,214.32 is: 10,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.12 : 14,322.84 = 7,214.32 : x
  2. Step 2: Convert to fraction form
    9,547.12/14,322.84 = 7,214.32/x
  3. Step 3: Cross multiply
    9,547.12x = 14,322.84 × 7,214.32
  4. Step 4: Simplify right side
    9,547.12x = 103,329,551.07
  5. Step 5: Solve for x
    x = 103,329,551.07/9,547.12
  6. Step 6: Final answer
    x = 10,823.11

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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.